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Generalized Cantor manifolds in finite and infinite dimension theories
by
Pawel Krupski
University of Wroclaw
Coauthors: A. Karassev (Nipissing University),
V. Todorov (UACG, Sofia),
V. Valov (Nipissing University)
A classical theorem of Alexandroff states that every n-dimensional compactum X contains an n-dimensional Cantor manifold. This theorem has a number of generalizations obtained by various authors. We consider extension-dimensional and infinite dimensional analogs of strong Cantor manifolds, Mazurkiewicz manifolds, and Vn-continua, and prove corresponding versions of the above theorem.
Date received: April 30, 2008
Copyright © 2008 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 # cawm-38.