The generalized Lusternik-Schnirelmann category of a product space

Clapp, Mónica; Puppe, Dieter

doi:10.1090/S0002-9947-1990-1038015-3

The generalized Lusternik-Schnirelmann category of a product space
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by Mónica Clapp and Dieter Puppe PDF

Trans. Amer. Math. Soc. 321 (1990), 525-532 Request permission

Abstract:

We continue to study the notions of $\mathcal {A}$-category and strong $\mathcal {A}$-category which we introduced in [2]. We give a characterization of them in terms of homotopy colimits and then use it to prove some product theorems in this context.

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