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Cohomotopical admissibility and inverse limits

Dymek G., Prusiński A.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 3

267-271

The aim of this paper is to prove that if X = [formula] and all spaces Xα are n-cohomotopically admissible compacta then X is n-cohomotopically admissible i.e. n-cohomotopical admissibility is a continuous property under inverse limits. The idea of this proof is taken from [2]. Readers should be familiar with [2] and Section 2 of [3].