topology worksheet

Give an example of two spaces which are not homotopy equivalent, but have the same homology. • What is π2 of S2 ∨ S1 ? • Calculate π1(X) where X is the three ...

www.math.harvard.edu·37.5 KB

(a) Prove that the identity map (X, F1) → (X, F2) is continuous. (b) Suppose X = [0, 1] and F1 is the usual metric topology and that F2 is a weaker topology ...

maths.qmul.ac.uk·29.5 KB

The field finds its root in computational geometry and topology, and in several areas of mathematics like algebraic topology, non smooth ...

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