Analyzing topological surfaces


Assignment:

Q1) The definitions of surface (in terms of gluing panels) and what it means for two surfaces to be topologically equivalent.

Q2) A description of the three features of surfaces that characterize them in terms of their topology.

Q3) Three examples of pairs of surfaces that agree on two of the features but differ on the third one. For example, an annulus and a torus are both ______ have ______ equal to 0, but differ in ______.

Q4) An explanation of whether a T-shirt and pair of sweat pants (no zipper) are topologically equivalent.

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Attachment:- Surfaces.rar

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Mathematics: Analyzing topological surfaces
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