Real Algebraic and Analytic Geometry Preprint Server

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Submission: 2007, January 22.

Abstract:
We show here the existence of the o-minimal simplicial and singular (co)homology in o-minimal expansions of real closed fields and we prove several comparation theorems for o-minimal (co)homology theories.

Mathematics Subject Classification (2000): 03C64, 55N35.

Keywords and Phrases: o-minimal singular (co)homology, comparation theorems.

Full text, 36p.: dvi 154k, ps.gz 211k, pdf 280k.