(b) Let X=(2,3,5,8) with indiscrete topology and Y={a,b,c} with discrete, let f be a constant map from a space X into a space Y show that whether f is: (1) continuous map or not. (2) open map or not. (3) closed map or not. (

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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(1) a suubase for a top
not. (2) a base
(b) Let X=(2,3,5,8) with indiscrete topology and Y=(a, b,c) with discrete, let f be a
constant map from a space X into a space Y show that whether f is:
(1) continuous map or not. (2) open map or not. (3) closed map or not.
Transcribed Image Text:(1) a suubase for a top not. (2) a base (b) Let X=(2,3,5,8) with indiscrete topology and Y=(a, b,c) with discrete, let f be a constant map from a space X into a space Y show that whether f is: (1) continuous map or not. (2) open map or not. (3) closed map or not.
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