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Invariance of infinite-dimensional classes of spaces

Part of: Maps and general types of spaces defined by maps Special properties

Published online by Cambridge University Press:  09 April 2009

B. R. Wenner
B. R. Wenner
Affiliation:
Mathematics Department University of Missouri Kansas City, Missouri 64110, U.S.A.
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Abstract

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The central area of investigation is in the isolation of conditions on mappings which leave invariant the classes of locally finite-dimensional metric spaces and strongly countable-dimensional metric spaces. Examples of such properties are open and closed with discrete point-inverses, open and finite-to-one, or open, closed, and countable-to-one.

Keywords

metric spacestrongly countable-dimensionalcovering dimensionlocally finite-dimensionalclosed maplocally finite cover

MSC classification

Secondary: 54F45: Dimension theory 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 1 , February 1985 , pp. 76 - 83
Copyright
Copyright © Australian Mathematical Society 1985

References

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