Algebraic Topology · Problem 4.1.17

Homotopy Theory — Allen Hatcher

Mathematics — Topology · connectivity-product-smash

Problem

Show that if

X

and

Y

are CW complexes with

X

m

-connected and

Y

n

-connected, then

(X \times Y, X \vee Y)

(m + n + 1)

-connected, as is the smash product

X \wedge Y