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      • HARVEST
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      • HARVEST
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      On free spaces

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      NQ43520.pdf (2.412Mb)
      Date
      1999-01-01
      Author
      Song, Jianwei
      Type
      Thesis
      Degree Level
      Doctoral
      Metadata
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      Abstract
      A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of two proper subcontinua. A continuum is indecomposable if it is not decomposable. A continuum is hereditarily indecomposable if each of its subcontinua is indecomposable. A space is called a Bing space if each of its components is a hereditarily indecomposable continuum. A map is a continuous function. A map is called a Bing map if each of its fibers is a Bing space. In 1958, Brown constructed a Bing map from 'Rn' - {0} to 'R'. In 1996, Levin proved that the set of Bing maps is a dense G[delta]-subset of 'C'('X, I') (or 'C'('X, R')) for any compactum ' X'. Krasinkiewicz proved the same result for the case of ' n'-dimensional manifolds 'M' ('n'
      Degree
      Doctor of Philosophy (Ph.D.)
      Department
      Mathematics and Statistics
      Program
      Mathematics and Statistics
      Committee
      Tymchatyn, Edward D.
      Copyright Date
      January 1999
      URI
      http://hdl.handle.net/10388/etd-10212004-002042
      Collections
      • Graduate Theses and Dissertations
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