Tychonoff Space

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High Quality Content by WIKIPEDIA articles! In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. Tychonoff spaces are named after Andrey Nikolayevich Tychonoff, whose Russian name ( ) is variously rendered as "Tychonov", "Tikhonov", "Tihonov", "Tichonov" etc. Note that some mathematical literature uses different definitions for the term "completely regular" and the terms involving "T". The definitions that we have given here are the ones usually used today; however, some authors switch the meanings of the two kinds of terms, or use all terms synonymously for only one condition. In Wikipedia, we will use the terms "completely regular" and "Tychonoff" freely, but we'll avoid the less clear "T" terms. In other literature, you should take care to find out which definitions the author is using.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131151125
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131151125
    • Format Fachbuch
    • Titel Tychonoff Space
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 100
    • Genre Mathematik

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