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Fifteenth Annual Workshop in Geometric Topology
June 11-13, 1998
Brigham Young University
Park City, UT, USA

Organizers
David Wright, Fredric Ancel, Dennis Garity, Craig Guilbault, Frederick Tinsley

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On coarse dimension
by
Alex Dranishnikov
University of Florida

The concept of dimension in the coarse category is very important in the coarse approach to the Novikov type conjectures. We compare three notions of dimensions: Gromov's asymptotic dimension asdim, dimension defined in terms of extensions of mappings to coarse spheres dimc and covering dimension the Higson corona. The Higson corona is a functor \nuCoarse --> Compacta defined for arbitrary metric spaces. We show that dimc X=dim\nuX and asdimX=dim\nuX if asdimX is finite.

Date received: June 2, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabi-11.