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Information Journal Paper

Title

ONE-POINT EXTENSIONS OF LOCALLY COMPACT PARACOMPACT SPACES

Pages

  199-228

Abstract

 A space Y is called an extension of a space X, if Y contains X as a dense subspace. Two extensions of X are said to be equivalent, if there is a homeomorphism between them which fixes X point-wise. For two (equivalence classes of) extensions Y and Y’ of X let Y£ Y’, if there is a continuous function of Y 0 intoY which fixes X point-wise. An extension Y of X is called a ONE-POINT EXTENSION, if Y \X is a singleton. An extension Y of X is called first-countable, if Y is first-countable at points of Y \X. Let P be a topological property. An extension Y of X is called a P-extension, if it has P.In this article, for a given LOCALLY COMPACT PARACOMPACT space X, we consider the two classes of one-point Cech-complete, P extensions of X and one-point first-countable locally-P extensions of X, and we study their order-structures, by relating them to the topology of a certain subspace of the outgrowth bX\X. Here P is subject to some requirements and include s-compactness and the Lindelof property as special cases.

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    • Cite

    APA: Copy

    KOUSHESH, M.R.. (2011). ONE-POINT EXTENSIONS OF LOCALLY COMPACT PARACOMPACT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 199-228. SID. https://sid.ir/paper/592885/en

    Vancouver: Copy

    KOUSHESH M.R.. ONE-POINT EXTENSIONS OF LOCALLY COMPACT PARACOMPACT SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):199-228. Available from: https://sid.ir/paper/592885/en

    IEEE: Copy

    M.R. KOUSHESH, “ONE-POINT EXTENSIONS OF LOCALLY COMPACT PARACOMPACT SPACES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 199–228, 2011, [Online]. Available: https://sid.ir/paper/592885/en

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