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- W2410678049 abstract "Abstract This paper investigates topological reconstruction, related to the reconstruction conjecture in graph theory. We ask whether the homeomorphism types of subspaces of a space X which are obtained by deleting singletons determine X uniquely up to homeomorphism. If the question can be answered affirmatively, such a space is called reconstructible. We prove that in various cases topological properties can be reconstructed. As main result we find that familiar spaces such as the reals ℝ, the rationals ℚ and the irrationals ℙ are reconstructible, as well as spaces occurring as Stone–Čech compactifications. Moreover, some non-reconstructible spaces are discovered, amongst them the Cantor set C ." @default.
- W2410678049 created "2016-06-24" @default.
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- W2410678049 date "2016-06-10" @default.
- W2410678049 modified "2023-09-25" @default.
- W2410678049 title "A TOPOLOGICAL VARIATION OF THE RECONSTRUCTION CONJECTURE" @default.
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- W2410678049 doi "https://doi.org/10.1017/s0017089516000124" @default.
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