Let X = {a, b, c, d} with the following topology: ?= {X,0, {a},{b}, {a,b}} Let Y={x,y,z} Consider the following quotient map: p: X→Y with p(a)=x p(b)=x p(c)=y p(d)=z. What are the open sets in Y with the quotient topology?

Let X = {a, b, c, d} with the following topology: ?= {X,0, {a},{b}, {a,b}} Let Y={x,y,z} Consider the following quotient map: p: X→Y with p(a)=x p(b)=x p(c)=y p(d)=z. What are the open sets in Y with the quotient topology?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let X = {a, b, c, d} with the following topology:

?= {X,0, {a},{b}, {a,b}} Let Y={x,y,z}

Consider the following quotient map: p: X→Y with p(a)=x p(b)=x p(c)=y p(d)=z.

What are the open sets in Y with the quotient topology?

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