Comparison theorems for o-minimal singular (co)homology

Here we show the existence of the o-minimal simplicial and singular (co)homology in o-minimal expansions of real closed fields and prove several comparison theorems for o-minimal (co)homology theories.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2008-09, Vol.360 (9), p.4889-4912
Main Authors: Edmundo, Mário J., Woerheide, Arthur
Format: Article
Language:English
Subjects:
Algebra
Algebraic topology
Definable sets
Exact sciences and technology
Functors
Geometry
Homomorphisms
Mathematical theorems
Mathematics
Morphisms
Sciences and techniques of general use
Topological theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Triangulation
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Description
Summary:Here we show the existence of the o-minimal simplicial and singular (co)homology in o-minimal expansions of real closed fields and prove several comparison theorems for o-minimal (co)homology theories.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-08-04403-6