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The Extension Dimension and C ‐Spaces
Author(s) -
Chigogidze Alex,
Valov Vesko
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001315
Subject(s) - metrization theorem , mathematics , extension (predicate logic) , dimension (graph theory) , mathematics subject classification , characterization (materials science) , class (philosophy) , pure mathematics , absolute (philosophy) , algebra over a field , mathematical analysis , artificial intelligence , epistemology , computer science , programming language , philosophy , materials science , separable space , nanotechnology
Some generalizations of the classical Hurewicz formula are obtained for the extension dimension and C ‐spaces. A characterization is also given of the class of metrizable spaces that are absolute neighborhood extensors for all metrizable C ‐spaces. 2000 Mathematics Subject Classification 55M10 (primary); 54F45, 55M10 (secondary).