(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find two spaces A,B compact where A and B are nonhomeomorphic but AX[0,1][tex]\cong[/tex]BX[0,1]

2. Relevant equations

Definitions of homeomorphism, cardinality possiby, I have no idea where to start.

3. The attempt at a solution

My idea Is [0,1] and S^1, but im not sure if the unit square is homeo to the cylinder.

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# Homework Help: Topology Problem

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