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- W279187598 abstract "Publisher SummaryIn 1932, Whitney showed that there always exists a function μ from 2X onto [0,1] such that (1) μ is continuous; (2) if A, B ∈ 2X, A ⊂ B, and A ≠ B, then μ(A) < μ (B); (3) μ(X) = 1; and (4) μ ({x}) = 0 for any x ∈ X. The chapter also presents the proofs of two general results about μ on C(X), namely, arcwise connectivity of X implies arcwise connectivity of μ–1 (t) for all t ∈ [0,1] and local connectivity of X implies local connectivity of μ–1 (t) for all t ∈ [0,1]. Some corollaries are obtained to these results and some unsolved problems are stated." @default.
- W279187598 created "2016-06-24" @default.
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- W279187598 date "1975-01-01" @default.
- W279187598 modified "2023-09-27" @default.
- W279187598 title "Some Basic Connectivity Properties of Whitney Map Inverses in C(X)" @default.
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- W279187598 doi "https://doi.org/10.1016/b978-0-12-663450-1.50038-4" @default.
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