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2 results

  • Almost locally connected spaces

  • Part of
  • Vincent J. Mancuso
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 31 / Issue 4 / December 1981
    Published online by Cambridge University Press:
    09 April 2009, pp. 421-428
    Print publication:
    December 1981
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  • This paper introduces the concept of an almost locally connected space. Every locally connected space is almost locally connected, and the concepts are equivalent in the class of semi-regular spaces. Almost local connectedness is hereditary for regular open subspaces, is preserved by continuous open maps, but not generally by quotient maps. It is productive in the presence of almost-regularity.