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...

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Autori principali: Gartside, P, Pitz, M, Suabedissen, R
Natura: Journal article
Pubblicazione: American Mathematical Society 2016