One-to-One Mappings onto the Cantor Set
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(α) X is zero dimensional,
(β) each point of X is a limit point of X,
(γ) X is compact,
(γ') X is a Gδ subset of some complete metric space M.
Authors
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The University of Georgia, Athens, GA ,US
M. K. Fort
Abstract
LET X be a separable metric space. We consider the following conditions on X:(α) X is zero dimensional,
(β) each point of X is a limit point of X,
(γ) X is compact,
(γ') X is a Gδ subset of some complete metric space M.
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Published
1961-06-01
How to Cite
Fort, M. K. (1961). One-to-One Mappings onto the Cantor Set. The Journal of the Indian Mathematical Society, 25(2), 103–107. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/22051
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Copyright (c) 1961 M. K. Fort
This work is licensed under a Creative Commons Attribution 4.0 International License.
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