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Mathematics Preprints 2005


Algebraic Topology



05.05 : PORTER, T.

What `shape' is space-time?

Summary:

Some examples from the mathematics of shape are presented that question some of the almost hidden assumptions behind results on limiting behaviour of finitary approximations to space-time. These are presented so as to focus attention on the observational problem of refinement and suggest the necessity for an alternative theory of `fractafolds' against which the limiting theory of C^\infty-differential manifolds usually underlying (quantum) general relativity can be measured.

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05.19 : BAK, A., BROWN, R., MINIAN, G. & PORTER, T.

Groupoid atlases: an introduction

Summary:

Abstract of talk to the 'Colloque International: Charles Ehresmann: 100ans', Amiens 7-9 October, 2005.

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Published in:

Top. Geom. Diff. Cat. 46 (2005) 183.

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