diff --git a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.html b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.html
index 29ff2c4e25..9b7216c92a 100644
--- a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.html
+++ b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.html
@@ -34,7 +34,7 @@
             <div>
               <ds-item-select class="mt-2"
                 [key]="'map'"
-                [dsoRD$]="mappingItemsRD$"
+                [dsoRD$]="mappedItemsRD$"
                 [paginationOptions]="(searchOptions$ | async)?.pagination"
                 [confirmButton]="'collection.item-mapper.confirm'"
                 (confirm)="mapItems($event)"></ds-item-select>
diff --git a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.spec.ts b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.spec.ts
index 4100c49d9e..046127da4c 100644
--- a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.spec.ts
+++ b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.spec.ts
@@ -93,7 +93,7 @@ describe('CollectionItemMapperComponent', () => {
   const collectionDataServiceStub = {
     getMappedItems: () => of(emptyList),
     /* tslint:disable:no-empty */
-    clearMappingItemsRequests: () => {}
+    clearMappedItemsRequests: () => {}
     /* tslint:enable:no-empty */
   };
   const routeServiceStub = {
diff --git a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.ts b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.ts
index 520c446d8e..554696c63f 100644
--- a/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.ts
+++ b/src/app/+collection-page/collection-item-mapper/collection-item-mapper.component.ts
@@ -64,7 +64,7 @@ export class CollectionItemMapperComponent implements OnInit {
    * List of items to show under the "Map" tab
    * Items outside the collection
    */
-  mappingItemsRD$: Observable<RemoteData<PaginatedList<DSpaceObject>>>;
+  mappedItemsRD$: Observable<RemoteData<PaginatedList<DSpaceObject>>>;
 
   /**
    * Sort on title ASC by default
@@ -96,7 +96,7 @@ export class CollectionItemMapperComponent implements OnInit {
 
   /**
    * Load collectionItemsRD$ with a fixed scope to only obtain the items this collection owns
-   * Load mappingItemsRD$ to only obtain items this collection doesn't own
+   * Load mappedItemsRD$ to only obtain items this collection doesn't own
    */
   loadItemLists() {
     this.shouldUpdate$ = new BehaviorSubject<boolean>(true);
@@ -114,7 +114,7 @@ export class CollectionItemMapperComponent implements OnInit {
         }
       })
     );
-    this.mappingItemsRD$ = collectionAndOptions$.pipe(
+    this.mappedItemsRD$ = collectionAndOptions$.pipe(
       switchMap(([collectionRD, options, shouldUpdate]) => {
           if (shouldUpdate) {
             return this.searchService.search(Object.assign(new PaginatedSearchOptions(options), {
@@ -190,7 +190,7 @@ export class CollectionItemMapperComponent implements OnInit {
    */
   private clearRequestCache() {
     this.collectionRD$.pipe(take(1)).subscribe((collectionRD: RemoteData<Collection>) => {
-      this.collectionDataService.clearMappingItemsRequests(collectionRD.payload.id);
+      this.collectionDataService.clearMappedItemsRequests(collectionRD.payload.id);
       this.searchService.clearDiscoveryRequests();
     });
   }
diff --git a/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.html b/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.html
index 7386eed98c..55619bdc96 100644
--- a/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.html
+++ b/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.html
@@ -32,8 +32,9 @@
             <div>
               <ds-collection-select class="mt-2"
                 [key]="'map'"
-                [dsoRD$]="mappingCollectionsRD$"
+                [dsoRD$]="mappedCollectionsRD$"
                 [paginationOptions]="(searchOptions$ | async)?.pagination"
+                [sortOptions]="(searchOptions$ | async)?.sort"
                 [confirmButton]="'item.edit.item-mapper.buttons.add'"
                 (confirm)="mapCollections($event)"></ds-collection-select>
             </div>
diff --git a/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.ts b/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.ts
index 0eadad860e..803083c428 100644
--- a/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.ts
+++ b/src/app/+item-page/edit-item-page/item-collection-mapper/item-collection-mapper.component.ts
@@ -54,7 +54,7 @@ export class ItemCollectionMapperComponent implements OnInit {
    * List of collections to show under the "Map" tab
    * Collections that are not mapped to the item
    */
-  mappingCollectionsRD$: Observable<RemoteData<PaginatedList<Collection>>>;
+  mappedCollectionsRD$: Observable<RemoteData<PaginatedList<Collection>>>;
 
   /**
    * Firing this observable (shouldUpdate$.next(true)) forces the two lists to reload themselves
@@ -79,7 +79,7 @@ export class ItemCollectionMapperComponent implements OnInit {
 
   /**
    * Load itemCollectionsRD$ with a fixed scope to only obtain the collections that own this item
-   * Load mappingCollectionsRD$ to only obtain collections that don't own this item
+   * Load mappedCollectionsRD$ to only obtain collections that don't own this item
    */
   loadCollectionLists() {
     this.shouldUpdate$ = new BehaviorSubject<boolean>(true);
@@ -96,7 +96,7 @@ export class ItemCollectionMapperComponent implements OnInit {
       this.itemCollectionsRD$,
       this.searchOptions$
     );
-    this.mappingCollectionsRD$ = itemCollectionsAndOptions$.pipe(
+    this.mappedCollectionsRD$ = itemCollectionsAndOptions$.pipe(
       switchMap(([itemCollectionsRD, searchOptions]) => {
         return this.searchService.search(Object.assign(new PaginatedSearchOptions(searchOptions), {
           query: this.buildQuery(itemCollectionsRD.payload.page, searchOptions.query),
diff --git a/src/app/core/data/collection-data.service.ts b/src/app/core/data/collection-data.service.ts
index e4b8442718..38b86b3817 100644
--- a/src/app/core/data/collection-data.service.ts
+++ b/src/app/core/data/collection-data.service.ts
@@ -69,10 +69,10 @@ export class CollectionDataService extends ComColDataService<Collection> {
    * Fetches the endpoint used for mapping items to a collection
    * @param collectionId   The id of the collection to map items to
    */
-  getMappingItemsEndpoint(collectionId): Observable<string> {
+  getMappedItemsEndpoint(collectionId): Observable<string> {
     return this.halService.getEndpoint(this.linkPath).pipe(
       map((endpoint: string) => this.getIDHref(endpoint, collectionId)),
-      map((endpoint: string) => `${endpoint}/mappingItems`)
+      map((endpoint: string) => `${endpoint}/mappedItems`)
     );
   }
 
@@ -84,7 +84,7 @@ export class CollectionDataService extends ComColDataService<Collection> {
   getMappedItems(collectionId: string, searchOptions?: PaginatedSearchOptions): Observable<RemoteData<PaginatedList<DSpaceObject>>> {
     const requestUuid = this.requestService.generateRequestId();
 
-    const href$ = this.getMappingItemsEndpoint(collectionId).pipe(
+    const href$ = this.getMappedItemsEndpoint(collectionId).pipe(
       isNotEmptyOperator(),
       distinctUntilChanged(),
       map((endpoint: string) => hasValue(searchOptions) ? searchOptions.toRestUrl(endpoint) : endpoint)
@@ -106,11 +106,11 @@ export class CollectionDataService extends ComColDataService<Collection> {
   }
 
   /**
-   * Clears all requests (from cache) connected to the mappingItems endpoint
+   * Clears all requests (from cache) connected to the mappedItems endpoint
    * @param collectionId
    */
-  clearMappingItemsRequests(collectionId: string) {
-    this.getMappingItemsEndpoint(collectionId).pipe(take(1)).subscribe((href: string) => {
+  clearMappedItemsRequests(collectionId: string) {
+    this.getMappedItemsEndpoint(collectionId).pipe(take(1)).subscribe((href: string) => {
       this.requestService.removeByHrefSubstring(href);
     });
   }
diff --git a/src/app/core/data/item-data.service.ts b/src/app/core/data/item-data.service.ts
index 94c77664d3..9b59307f34 100644
--- a/src/app/core/data/item-data.service.ts
+++ b/src/app/core/data/item-data.service.ts
@@ -80,7 +80,7 @@ export class ItemDataService extends DataService<Item> {
    * @param itemId        The item's id
    * @param collectionId  The collection's id (optional)
    */
-  public getMappingCollectionsEndpoint(itemId: string, collectionId?: string): Observable<string> {
+  public getMappedCollectionsEndpoint(itemId: string, collectionId?: string): Observable<string> {
     return this.halService.getEndpoint(this.linkPath).pipe(
       map((endpoint: string) => this.getIDHref(endpoint, itemId)),
       map((endpoint: string) => `${endpoint}/mappedCollections${collectionId ? `/${collectionId}` : ''}`)
@@ -93,7 +93,7 @@ export class ItemDataService extends DataService<Item> {
    * @param collectionId  The collection's id
    */
   public removeMappingFromCollection(itemId: string, collectionId: string): Observable<RestResponse> {
-    return this.getMappingCollectionsEndpoint(itemId, collectionId).pipe(
+    return this.getMappedCollectionsEndpoint(itemId, collectionId).pipe(
       isNotEmptyOperator(),
       distinctUntilChanged(),
       map((endpointURL: string) => new DeleteRequest(this.requestService.generateRequestId(), endpointURL)),
@@ -109,7 +109,7 @@ export class ItemDataService extends DataService<Item> {
    * @param collectionHref  The collection's self link
    */
   public mapToCollection(itemId: string, collectionHref: string): Observable<RestResponse> {
-    return this.getMappingCollectionsEndpoint(itemId).pipe(
+    return this.getMappedCollectionsEndpoint(itemId).pipe(
       isNotEmptyOperator(),
       distinctUntilChanged(),
       map((endpointURL: string) => {
@@ -130,7 +130,7 @@ export class ItemDataService extends DataService<Item> {
    * @param itemId    The item's id
    */
   public getMappedCollections(itemId: string): Observable<RemoteData<PaginatedList<Collection>>> {
-    const request$ = this.getMappingCollectionsEndpoint(itemId).pipe(
+    const request$ = this.getMappedCollectionsEndpoint(itemId).pipe(
       isNotEmptyOperator(),
       distinctUntilChanged(),
       map((endpointURL: string) => new MappedCollectionsRequest(this.requestService.generateRequestId(), endpointURL)),
@@ -149,11 +149,11 @@ export class ItemDataService extends DataService<Item> {
   }
 
   /**
-   * Clears all requests (from cache) connected to the mappingCollections endpoint
+   * Clears all requests (from cache) connected to the mappedCollections endpoint
    * @param itemId
    */
   public clearMappedCollectionsRequests(itemId: string) {
-    this.getMappingCollectionsEndpoint(itemId).pipe(take(1)).subscribe((href: string) => {
+    this.getMappedCollectionsEndpoint(itemId).pipe(take(1)).subscribe((href: string) => {
       this.requestService.removeByHrefSubstring(href);
     });
   }
diff --git a/src/app/core/data/mapped-collections-reponse-parsing.service.ts b/src/app/core/data/mapped-collections-reponse-parsing.service.ts
index 45dd361b23..bf8ed036e3 100644
--- a/src/app/core/data/mapped-collections-reponse-parsing.service.ts
+++ b/src/app/core/data/mapped-collections-reponse-parsing.service.ts
@@ -18,18 +18,18 @@ export class MappedCollectionsReponseParsingService implements ResponseParsingSe
     if (payload._embedded && payload._embedded.mappedCollections) {
       const mappedCollections = payload._embedded.mappedCollections;
       // TODO: When the API supports it, change this to fetch a paginated list, instead of creating static one
-      // Reason: Pagination is currently not supported on the mappingCollections endpoint
-      const paginatedMappingCollections = new PaginatedList(Object.assign(new PageInfo(), {
+      // Reason: Pagination is currently not supported on the mappedCollections endpoint
+      const paginatedMappedCollections = new PaginatedList(Object.assign(new PageInfo(), {
         elementsPerPage: mappedCollections.length,
         totalElements: mappedCollections.length,
         totalPages: 1,
         currentPage: 1
       }), mappedCollections);
-      return new GenericSuccessResponse(paginatedMappingCollections, data.statusCode, data.statusText);
+      return new GenericSuccessResponse(paginatedMappedCollections, data.statusCode, data.statusText);
     } else {
       return new ErrorResponse(
         Object.assign(
-          new Error('Unexpected response from mappingCollections endpoint'), data
+          new Error('Unexpected response from mappedCollections endpoint'), data
         )
       );
     }
diff --git a/src/app/shared/object-select/collection-select/collection-select.component.html b/src/app/shared/object-select/collection-select/collection-select.component.html
index d53a030baf..5a1c98fcf5 100644
--- a/src/app/shared/object-select/collection-select/collection-select.component.html
+++ b/src/app/shared/object-select/collection-select/collection-select.component.html
@@ -2,6 +2,7 @@
   <ds-pagination
     *ngIf="collectionsRD?.payload?.totalElements > 0"
     [paginationOptions]="paginationOptions"
+    [sortOptions]="sortOptions"
     [pageInfoState]="collectionsRD?.payload"
     [collectionSize]="collectionsRD?.payload?.totalElements"
     [hidePagerWhenSinglePage]="true"
diff --git a/src/app/shared/object-select/item-select/item-select.component.html b/src/app/shared/object-select/item-select/item-select.component.html
index 51883186e1..a54afed643 100644
--- a/src/app/shared/object-select/item-select/item-select.component.html
+++ b/src/app/shared/object-select/item-select/item-select.component.html
@@ -2,6 +2,7 @@
   <ds-pagination
     *ngIf="itemsRD?.payload?.totalElements > 0"
     [paginationOptions]="paginationOptions"
+    [sortOptions]="sortOptions"
     [pageInfoState]="itemsRD?.payload"
     [collectionSize]="itemsRD?.payload?.totalElements"
     [hidePagerWhenSinglePage]="true"
diff --git a/src/app/shared/object-select/object-select/object-select.component.ts b/src/app/shared/object-select/object-select/object-select.component.ts
index d41cb771a6..70099e7328 100644
--- a/src/app/shared/object-select/object-select/object-select.component.ts
+++ b/src/app/shared/object-select/object-select/object-select.component.ts
@@ -5,6 +5,7 @@ import { RemoteData } from '../../../core/data/remote-data';
 import { PaginatedList } from '../../../core/data/paginated-list';
 import { PaginationComponentOptions } from '../../pagination/pagination-component-options.model';
 import { ObjectSelectService } from '../object-select.service';
+import { SortOptions } from '../../../core/cache/models/sort-options.model';
 
 /**
  * An abstract component used to select DSpaceObjects from a specific list and returning the UUIDs of the selected DSpaceObjects
@@ -26,6 +27,12 @@ export abstract class ObjectSelectComponent<TDomain> implements OnInit, OnDestro
   @Input()
   paginationOptions: PaginationComponentOptions;
 
+  /**
+   * The sorting options used to display the DSpaceObjects
+   */
+  @Input()
+  sortOptions: SortOptions;
+
   /**
    * The message key used for the confirm button
    * @type {string}