Topology of manifolds modeled on countable direct limits of Menger compacta |
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| Authors: | Dušan Repovš Michael Zarichnyi |
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| Institution: | a Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, PO Box 2964, Ljubljana, Slovenia 1001
b Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, 79000 Lviv, Ukraine |
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| Abstract: | We construct n-dimensional counterparts of manifolds modeled on the space ?2 equipped by the bounded weak topology ( -manifolds). For  -manifolds we prove the characterization, triangulation and classification theorems. In addition, a universal map of  onto Q∞ (the countable direct limit of Hilbert cubes and Z-embeddings) is constructed and characterized. |
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| Keywords: | 54E45 57N20 58B05 |
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