The homotopy classes of continuous maps between some non-metrizable manifolds

Details The homotopy classes of continuous maps between some non-metrizable manifolds The homotopy classes of continuous maps between some non-metrizable manifolds

2004-03-29

arxiv.org/abs/math/0403495v1

Topology and Its Applications, 2005, vol. 148, no. 1/3, p. 39-53

Mathematics

General Topology

17 pages, 3 figures

Scientific paper

Let R be Alexandroff's long ray. We prove that the homotopy classes of
continuous maps R^n \to R are in bijection with the antichains of P({1,...,n}).
The proof uses partition properties of continuous maps R^n \to R. We also
provide a description of $[X,R]$ for some other non-metrizable manifolds X.

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