Geodesic
Federer-Čech Couples
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 842-864

Voir la notice de l'article provenant de la source Cambridge University Press

In (5),I considered two-term conditions in π-exact couples, of which the exact couple of Federer (7) is an example. Let M(X, Y)be the space of all maps from X to Y with the compact-open topology. Our aim in this paper is to construct a π-exact couple , where Xis a finite-dimensional (in the sense of Lebesgue) metric space and , a certain (rather large) class of spaces. Specifically, is the class of all topological spaces Xwhich possess the following property (P).(P) Let Y be a (possibly infinite) simplicial complex. There exists x 0 ∈ X and y 0 ∊ Y such that [X, x0]≃ [Y, y0 ].In § 5 it will be seen that contains all CW complexes and all metric absolute neighbourhood retracts (ANR)s. 
Dyer, Micheal. Federer-Čech Couples. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 842-864. doi: 10.4153/CJM-1969-093-3
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