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Extensional dimension and completion of maps

2003/08/22 by H. Murat Tuncali, Tuncali, H. Murat, E. D. Tymchatin +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.GN #msc:54F45 #msc:55M10

paper · pdf · doi:10.48550/arxiv.math/0308219

6 pages

arxiv created 2003/08/22 · arxiv updated 2009/12/01

Abstract

We prove that any closed map between metrizable spaces can be extended to a closed map between completely metrizable spaces with the same extensional dimension.

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