countably K-determined

Last-modified: 2010-05-16 (日) 12:18:33

定義

  • A Tychonoff? space T is said to be countbly K-determined if there are a compactification Z of T and a sequence imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5c%7bK_n:n%5cin%5cmathbb%7bN%7d%5c%7d%20%5c%5d%7d%25.png of compact sets in Z such that, for each imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20t%5cin%20T%2c%5c%20%5cbigcap%5c%7bK_n:t%5cin%20K_n%2cn%5cin%5cmathbb%7bN%7d%5c%7d%5csubset%20T%20%5c%5d%7d%25.png .

出典

  • Encyclopedia of general topology, Edited by Klaas Pieter Hart, Jun-iti Nagata and Jerry E. Vaughan. Elsevier Science Publishers, B.V., Amsterdam, 2004.