Reconstructing compact metrizable spaces
The deck, D(X), of a topological space X is the set D(X) = {[X\{x}]: x ∈ X}, where [Y] denotes the homeomorphism class of Y. A space X is (topologically) reconstructible if whenever D(Z) = D(X), then Z is homeomorphic to X. It is known that every (metrizable) continuum is reconstructible, whereas th...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
American Mathematical Society
2016
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