diff --git a/typescript/core/base.ts b/typescript/core/base.ts
index 32c83c3a7..b6d7e795d 100644
--- a/typescript/core/base.ts
+++ b/typescript/core/base.ts
@@ -38,13 +38,13 @@ export interface _base {
 
     size: (collection: any[]|object|string) => number;
 
-    each: <T>(collection: any[]|object|string, callback?: ((index: number, value: T) => void)|object|string, thisArg?: any) => any;
+    each: <T>(collection: T[]|object|string, callback?: ((index: number, value: T) => void)|object|string, thisArg?: any) => any;
 
-    map: <T>(collection: any[]|object|string, callback?: ((index: number, value: T) => any)|object|string, thisArg?: any) => any[];
+    map: <T, U>(collection: T[]|object|string, callback?: ((index: number, value: T) => U)|object|string, thisArg?: any) => U[];
 
-    reduce: <T>(collection: any[]|object|string, callback?: ((total: any, currentValue: T, currentIndex: number) => any)|object|string, thisArg?: any) => any;
+    reduce: <T, U>(collection: T[]|object|string, callback?: ((total: U extends T ? U : T, currentValue: T, currentIndex: number) => U extends T ? U : T)|object|string, initialValue?: U|T) => U extends T ? U : T;
 
-    reduceRight: <T>(collection: any[]|object|string, callback?: ((total: any, currentValue: T, currentIndex: number) => any)|object|string, thisArg?: any) => any;
+    reduceRight: <T, U>(collection: T[]|object|string, callback?: ((total: U extends T ? U : T, currentValue: T, currentIndex: number) => U extends T ? U : T)|object|string, initialValue?: U|T) => U extends T ? U : T;
 
     find: <T>(collection: T[]|object|string, callback?: ((index: number, value: T) => boolean)|object|string, thisArg?: any) => any;