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 | References | Similar Articles | Additional Information

Abstract: Compact Hausdorff spaces of cohomological dimension are characterized as cell-like images of compact Hausdorff spaces with covering dimension . The proof essentially uses the newly developed techniques of approximate inverse systems.

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Additional Information

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