1 Ocak 2017 Dergi makalesi Açık Erişim

Gillam, W. D.; Karan, A.

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    "description": "In 1914, F. Hausdorff defined a metric on the set of closed subsets of a metric space X. This metric induces a topology on the set H of compact subsets of X, called the Hausdorff topology. We show that the topological space H represents the functor on the category of sequential topological spaces taking T to the set of closed subspaces Z of T x X for which the projection pi(1) : Z -> T is open and proper. In particular, the Hausdorff topology on H depends on the metric space X only through the underlying topological space of X. The Hausdorff space H provides an analog of the Hilbert scheme in topology. As an example application, we explore a certain quotient construction, called the Hausdorff quotient, which is the analog of the Hilbert quotient in algebraic geometry. (C) 2017 Elsevier B.V. All rights reserved.", 
    "doi": "10.1016/j.topol.2017.10.003", 
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      "pages": "102-111", 
      "title": "TOPOLOGY AND ITS APPLICATIONS", 
      "volume": "232"
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    "publication_date": "2017-01-01", 
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    "title": "The Hausdorff topology as a moduli space"
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