Open AccessMaximal Tychonoff spaces and normal isolator covers
Author(s) -
C. K. Basu,
S.S. Mandal
Publication year - 2016
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1613217b
Subject(s) - tychonoff space , linear subspace , mathematics , cover (algebra) , pure mathematics , discrete mathematics , hausdorff space , engineering , mechanical engineering
We introduce a new kind of cover called a normal isolator cover to characterize maximal Tychonoff spaces. Such a study is used to provide an alternative proof of an interesting result of Feng and Garcia-Ferreira in 1999 that every maximal Tychonoff space is extremally disconnected. Maximal tychonoffness of subspaces is also discussed.
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