Hatcher-Algebraic-Topology · Problem 4.1.17

Homotopy Theory

Mathematics — Graph Theory · connectivity-product-smash

Problem

Show that if XX and YY are CW complexes with XX mm-connected and YY nn-connected, then (X×Y,X∨Y)(X \times Y, X \vee Y) is (m+n+1)(m + n + 1)-connected, as is the smash product X∧YX \wedge Y.

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