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Colloquium on Topology, Gyula, Hungary
August 9-15, 1998
János Bolyai Mathematical Society
Budapest, Hungary

Organizers
M. Bognár, A. Császár (chairman), J. Gerlits, I. Juhász, E. Makai, G. Moussong, R. Rimányi, L. Soukup, A. Stipsicz, J. Szenthe, A. Szücs (secretary)

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Spaces with differential structure and an application to cosmology
by
Paul Cherenack
University of Cape Town
Coauthors: Patrice Ntumba

Categorical relations between the categories of differential, Frölicher, structured and F-structured spaces are determined and some of the forgetful functors defined on these categories are seen to be topological. The category of differential spaces is seen to be not Cartesian closed (the category of Frölicher spaces is Cartesian closed). Finally, a concrete simple example showing how the the radiation filled Robertson-Walker universe (one space dimension) has a suitable Frölicher space but not of necessity a structured space model is given.

Date received: February 26, 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 # cabc-02.