Open Access
Summer 2001 Coarse cohomology for families
James L. Heitsch, Steven Hurder
Illinois J. Math. 45(2): 323-360 (Summer 2001). DOI: 10.1215/ijm/1258138344

Abstract

We introduce coarse cohomology for families of metric spaces and develop the properties of this cohomology theory. Foliations provide the primary examples of such families and for these there are de~Rham, Čech and Alexander-Spanier versions of this theory, which are all isomorphic. We compute the coarse cohomology for a number of important examples.

Citation

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James L. Heitsch. Steven Hurder. "Coarse cohomology for families." Illinois J. Math. 45 (2) 323 - 360, Summer 2001. https://doi.org/10.1215/ijm/1258138344

Information

Published: Summer 2001
First available in Project Euclid: 13 November 2009

zbMATH: 1009.57036
MathSciNet: MR1878608
Digital Object Identifier: 10.1215/ijm/1258138344

Subjects:
Primary: 57R30
Secondary: 53C23 , 55N30 , 57R32 , 58H10

Rights: Copyright © 2001 University of Illinois at Urbana-Champaign

Vol.45 • No. 2 • Summer 2001
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