1 Ocak 2017 Dergi makalesi Açık Erişim

Gillam, W. D.; Karan, A.

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  "@id": 111146, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "name": "Gillam, W. D."
    }, 
    {
      "@type": "Person", 
      "name": "Karan, A."
    }
  ], 
  "datePublished": "2017-01-01", 
  "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.", 
  "headline": "The Hausdorff topology as a moduli space", 
  "identifier": 111146, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "The Hausdorff topology as a moduli space", 
  "url": "https://aperta.ulakbim.gov.tr/record/111146"
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