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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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On Topological and Hausdorff Dimensions in an Infinite-Dimensional Context
by
José Rojo
Univ. Politécnica de Madrid

The construction of S-dim, a topological dimension function which may take transfinite ordinal values, and the discussion of some of its remarkable properties, is presented firstly. The study of its relations with Hausdorff dimension, dimH allows us to discuss, then, some fractal constructions in an infinite-dimensional context.

Date received: April 12, 1996

Copyright © 1996 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 # caaf-68.