Homeomorphisms of Compact Sets in Certain Hausdorff Spaces | Zendy

Arthur D. Grainger | Zendy

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Homeomorphisms of Compact Sets in Certain Hausdorff Spaces

Author(s) -

Arthur D. Grainger

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/493290

Subject(s) - mathematics , hausdorff space , urysohn and completely hausdorff spaces , class (philosophy) , cardinality (data modeling) , normal space , compact open topology , compact space , locally compact space , pure mathematics , relatively compact subspace , paracompact space , property (philosophy) , hausdorff distance , riesz–markov–kakutani representation theorem , locally compact group , topological space , hausdorff measure , topological tensor product , topological vector space , mathematical analysis , hausdorff dimension , functional analysis , philosophy , artificial intelligence , chemistry , computer science , biochemistry , epistemology , data mining , gene

We construct a class of Hausdorff spaces (compact and noncompact) with the property that nonempty compact subsets of these spaces that have the same cardinality are homeomorphic. Also, it is shown that these spaces contain compact subsets that are infinite

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