Exercises:Saul - Algebraic Topology - 3/Exercise 3.2
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Exercises
Exercise 3.2
Suppose that [ilmath](X,\mathcal{ J })[/ilmath] is a non-empty path-connected topological space, equipped with a [ilmath]\Delta[/ilmath]-complex structure. Show, directly from the definitions (Hatcher, of course...) that [ilmath]H^\Delta_0(X)\cong\mathbb{Z} [/ilmath]
- We may assume without proof that the [ilmath]1[/ilmath]-skeleton is path connected.
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