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Comparison theorems for o-minimal singular (co)homology

Author(s): Mário J. Edmundo; Arthur Woerheide
Journal: Trans. Amer. Math. Soc. 360 (2008), 4889-4912.
MSC (2000): Primary 03C64, 55N10
Posted: April 9, 2008
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Abstract: 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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Additional Information:

Mário J. Edmundo
Affiliation: CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal

Arthur Woerheide
Affiliation: 6203 S. Evans Avenue, Chicago, Illinois 60637

DOI: 10.1090/S0002-9947-08-04403-6
PII: S 0002-9947(08)04403-6
Keywords: O-minimal singular homology and cohomology.
Received by editor(s): November 13, 2003
Received by editor(s) in revised form: December 16, 2004, November 3, 2005, July 17, 2006, and September 8, 2006
Posted: April 9, 2008
Additional Notes: This research was supported by the FCT grant SFRH/BPD/6015/2001 and partially by the European Research and Training Network HPRN-CT-2001-00271 RAAG
Copyright of article: Copyright 2008, American Mathematical Society

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