Let (X, T) and (Y, T1) be topological spaces and f a mapping of X into Y. If (X, T) is a discrete space, prove that f is continuous. Let (X, T) and (Y, T1) be topological spaces and ƒa mapping of X into Y. If (Y,T1) is an indiscrete space, prove that f is continuous.

Let (X, T) and (Y, T1) be topological spaces and f a mapping of X into Y. If (X, T) is a discrete space, prove that f is continuous. Let (X, T) and (Y, T1) be topological spaces and ƒa mapping of X into Y. If (Y,T1) is an indiscrete space, prove that f is continuous.

Name: topology Let (X, T) and (Y, T1) be topological spaces and f a mapping
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Description: topology Let (X, T) and (Y, T1) be topological spaces and f a mapping of X into Y. If(X, T) is a discrete space, prove that f is continuous.Let (X, T) and (Y, T1) be topological spaces and ƒa mapping of X into Y. If(Y,T1) is an indiscrete space, prov

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...

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