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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Cell-like mappings and nonmetrizable compacta of finite cohomological dimension


Authors: Sibe Mardešić and Leonard R. Rubin
Journal: Trans. Amer. Math. Soc. 313 (1989), 53-79
MSC: Primary 54F45; Secondary 54B25, 55M10
DOI: https://doi.org/10.1090/S0002-9947-1989-0962284-0
MathSciNet review: 962284
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Abstract: Compact Hausdorff spaces $ X$ of cohomological dimension $ {\dim _Z}X \leq n$ are characterized as cell-like images of compact Hausdorff spaces $ Z$ with covering dimension $ Z \leq n$. The proof essentially uses the newly developed techniques of approximate inverse systems.


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DOI: https://doi.org/10.1090/S0002-9947-1989-0962284-0
Keywords: Cell-like map, cohomological dimension, covering dimension, approximate inverse system, inverse system, compact Hausdorff space
Article copyright: © Copyright 1989 American Mathematical Society

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