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Categorical Methods in Algebra and Topology (CatMAT 2000)
August 21-25, 2000
University of Bremen
Bremen, Germany

Organizers
Hans-E. Porst, Horst Herrlich

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A non-Hausdorff quaternion multiplication.
by
Keith Hardie
Univ of Cape Town
Coauthors: Sergio Salbany, Japie Vermeulen, Peter Witbooi

M.C. McCord (1966) showed that every compact polyhedron P has a finite model, i.e. a finite poset X and a weak homotopy equivalence P --> X.

Each finite poset X has a barycentric subdivision X' and a weak homotopy equivalence X' --> X.

We describe a finite model X of the 3-sphere and an order=preserving function
DX'×X' --> X
where DX' has partial order opposite to X whose axes DX' --> X and X' --> X are weak homotopy equivalences.

Date received: April 28, 2000

Copyright © 2000 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 # caeq-05.