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Preprint Number 136

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136. Artur Piȩkosz
O-minimal homotopy and generalized (co)homology

Submission date: 28 October 2008


This article gives a version of the homotopy theory (developed by H. Delfs and M. Knebusch in the semialgebraic case) extended to regular paracompact locally definable spaces and definable CW-complexes over a model R of an o-minimal (complete) theory T extending RCF, and even for weakly definable spaces, if T is a bounded theory. Corresponding generalized homology and cohomology theories for pointed weak polytopes coincide with the known topological generalized theories if T is bounded.

Mathematics Subject Classification: 03C64, 55N20, 55Q05

Keywords and phrases: o-minimal structure, generalized topology, locally definable space, weakly definable space, CW-complex, homotopy sets, generalized homology, generalized cohomology

Full text arXiv: pdf, ps.

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