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Proper starlike equivalent decompositions of \(E^3(E^n)\)

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Publication:1167963
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DOI10.1007/BF01947641zbMath0492.57004OpenAlexW2048645253MaRDI QIDQ1167963

Louis F. McAuley

Publication date: 1982

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01947641

zbMATH Keywords

pointlike upper semicontinuous decompositions of n-space which are homeomorphic to n-spaceproper starlike equivalent decompositionsstarlike continuum


Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15)




Cites Work

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  • Decompositions of E\(^3\) into strongly cellular sets
  • Upper semicontinuous decompositions of \(E^ 3\)
  • A decomposition of \(E^ 3\) into points and tame arcs such that the decomposition space is topologically different from \(E^ 3\)
  • Some upper semi-continuous decompositions of \(E^3\) into \(E^3\)
  • Decompositions of \(E^ 3\) with a null sequence of starlike equivalent non-degenerate elements are \(E^ 3\)
  • A decomposition of \(E^ 3\) into points and a null family of tame 3-cells is \(E^ 3\)
  • Shrinking Countable Decompositions of S 3
  • Applications of a mismatch, theorem to decomposition spaces
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