Matches in SemOpenAlex for { <https://semopenalex.org/work/W1527159274> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W1527159274 abstract "We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dimX > 0, then the decompositions {W (x) | x ∈ X} and {W (x) | x ∈ X} of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, Wσ(x) contains a nondegenerate subcontinuum Ax containing x with diamAx ≥ , and if x, y ∈ C and x 6= y, then W σ(x) 6= Wσ(y). For a continuum-wise expansive homeomorphism, a similar result is obtained. Also, we prove that if f : G → G is a map of a graph G and the shift map f : (G, f) → (G, f) of f is expansive, then for each x ∈ (G, f), W (x) is equal to the arc component of (G, f) containing x, and dimW (x) = 0." @default.
- W1527159274 created "2016-06-24" @default.
- W1527159274 creator A5036852557 @default.
- W1527159274 date "1993-01-01" @default.
- W1527159274 modified "2023-09-27" @default.
- W1527159274 title "Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets" @default.
- W1527159274 cites W1007169030 @default.
- W1527159274 cites W1499175902 @default.
- W1527159274 cites W1503114587 @default.
- W1527159274 cites W1979684610 @default.
- W1527159274 cites W1982799264 @default.
- W1527159274 cites W2010132974 @default.
- W1527159274 cites W2011375699 @default.
- W1527159274 cites W2018513680 @default.
- W1527159274 cites W2036870533 @default.
- W1527159274 cites W2043708805 @default.
- W1527159274 cites W2045545032 @default.
- W1527159274 cites W2050649830 @default.
- W1527159274 cites W2050824093 @default.
- W1527159274 cites W2058371962 @default.
- W1527159274 cites W2062321686 @default.
- W1527159274 cites W2073462255 @default.
- W1527159274 cites W2081849078 @default.
- W1527159274 cites W2094536310 @default.
- W1527159274 cites W2330928021 @default.
- W1527159274 cites W3152478022 @default.
- W1527159274 cites W770791307 @default.
- W1527159274 cites W909349270 @default.
- W1527159274 doi "https://doi.org/10.4064/fm-143-2-153-165" @default.
- W1527159274 hasPublicationYear "1993" @default.
- W1527159274 type Work @default.
- W1527159274 sameAs 1527159274 @default.
- W1527159274 citedByCount "1" @default.
- W1527159274 crossrefType "journal-article" @default.
- W1527159274 hasAuthorship W1527159274A5036852557 @default.
- W1527159274 hasBestOaLocation W15271592741 @default.
- W1527159274 hasConcept C10728891 @default.
- W1527159274 hasConcept C110729354 @default.
- W1527159274 hasConcept C114614502 @default.
- W1527159274 hasConcept C118615104 @default.
- W1527159274 hasConcept C121332964 @default.
- W1527159274 hasConcept C142399903 @default.
- W1527159274 hasConcept C18648836 @default.
- W1527159274 hasConcept C202444582 @default.
- W1527159274 hasConcept C2780502288 @default.
- W1527159274 hasConcept C30407753 @default.
- W1527159274 hasConcept C33923547 @default.
- W1527159274 hasConcept C36605576 @default.
- W1527159274 hasConcept C97355855 @default.
- W1527159274 hasConceptScore W1527159274C10728891 @default.
- W1527159274 hasConceptScore W1527159274C110729354 @default.
- W1527159274 hasConceptScore W1527159274C114614502 @default.
- W1527159274 hasConceptScore W1527159274C118615104 @default.
- W1527159274 hasConceptScore W1527159274C121332964 @default.
- W1527159274 hasConceptScore W1527159274C142399903 @default.
- W1527159274 hasConceptScore W1527159274C18648836 @default.
- W1527159274 hasConceptScore W1527159274C202444582 @default.
- W1527159274 hasConceptScore W1527159274C2780502288 @default.
- W1527159274 hasConceptScore W1527159274C30407753 @default.
- W1527159274 hasConceptScore W1527159274C33923547 @default.
- W1527159274 hasConceptScore W1527159274C36605576 @default.
- W1527159274 hasConceptScore W1527159274C97355855 @default.
- W1527159274 hasLocation W15271592741 @default.
- W1527159274 hasOpenAccess W1527159274 @default.
- W1527159274 hasPrimaryLocation W15271592741 @default.
- W1527159274 hasRelatedWork W109615496 @default.
- W1527159274 hasRelatedWork W1419489776 @default.
- W1527159274 hasRelatedWork W1564903444 @default.
- W1527159274 hasRelatedWork W1984855282 @default.
- W1527159274 hasRelatedWork W1988583478 @default.
- W1527159274 hasRelatedWork W1989281570 @default.
- W1527159274 hasRelatedWork W2002649517 @default.
- W1527159274 hasRelatedWork W2022318749 @default.
- W1527159274 hasRelatedWork W2023812566 @default.
- W1527159274 hasRelatedWork W2060984618 @default.
- W1527159274 hasRelatedWork W2064627698 @default.
- W1527159274 hasRelatedWork W2078707030 @default.
- W1527159274 hasRelatedWork W2079094676 @default.
- W1527159274 hasRelatedWork W2155619309 @default.
- W1527159274 hasRelatedWork W2320760531 @default.
- W1527159274 hasRelatedWork W2321529370 @default.
- W1527159274 hasRelatedWork W2327645505 @default.
- W1527159274 hasRelatedWork W2562713385 @default.
- W1527159274 hasRelatedWork W2963153389 @default.
- W1527159274 hasRelatedWork W3196724964 @default.
- W1527159274 isParatext "false" @default.
- W1527159274 isRetracted "false" @default.
- W1527159274 magId "1527159274" @default.
- W1527159274 workType "article" @default.