4. Let X= {a,b,c}with topology t, = {ø, X,{a},{a,b}} and Y= {1,2,3} with topology r, = {6,Y,{1,2},{2},{2,3}}. Define f (a)=1, f(b)=1 and f(c)=2. Verify whether f is an open map. %3D
4. Let X= {a,b,c}with topology t, = {ø, X,{a},{a,b}} and Y= {1,2,3} with topology r, = {6,Y,{1,2},{2},{2,3}}. Define f (a)=1, f(b)=1 and f(c)=2. Verify whether f is an open map. %3D
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
Related questions
Question
![4. Let X= {a,b,c}with topology t, = {ø, X,{a},{a,b}} and Y= {1,2,3} with
topology r, = {6,Y,{1,2},{2},{2,3}}. Define f (a)=1, f(b)=1 and f(c)=2.
Verify whether f is an open map.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a256946-58ed-401d-913d-e2d506fac8aa%2Ff96eb22e-d02f-40f4-a73f-a3b908f8e708%2F9n3wwl5_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let X= {a,b,c}with topology t, = {ø, X,{a},{a,b}} and Y= {1,2,3} with
topology r, = {6,Y,{1,2},{2},{2,3}}. Define f (a)=1, f(b)=1 and f(c)=2.
Verify whether f is an open map.
%3D
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