Coherent homotopy and localization (CROSBI ID 91091)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mardešić, Sibe
engleski
Coherent homotopy and localization
The purpose of this paper is to give a direct and relatively simple proof of the fact that the coherent homotopy category CH(Top), introduced in 1983 by Yu.T. Lisitsa and S. Marde\v si\'c, is isomorphic to the category Ho(pro-Top), obtained by localizing the category pro-Top at level homotopy equivalences. This result implies that the strong shape category SSh(Top), introduced by these authors is isomorphic to the strong shape categories defined by F.W. Cathey and J. Segal and by B. G\"{;u};nther.
procategory ; level homotopy equivalence ; localization ; coherent homotopy ; strong shape
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Podaci o izdanju
94 (1-3)
1999.
253-274
objavljeno
0166-8641
1879-3207
10.1016/S0166-8641(98)00034-0