Title of article
Diagonalizations of dense families
Author/Authors
Bonanzinga، نويسنده , , Maddalena and Cammaroto، نويسنده , , Filippo and Pansera، نويسنده , , Bruno Antonio and Tsaban، نويسنده , , Boaz، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
14
From page
12
To page
25
Abstract
We develop a unified framework for the study of classic and new properties involving diagonalizations of dense families in topological spaces. We provide complete classification of these properties. Our classification draws upon a large number of methods and constructions scattered in the literature, and on several novel results concerning the classic properties.
Keywords
S fin ( D , D ) , S fin ( D , D ) , Weakly Rothberger , D ) , M-separable , D ) , Selection principles , Selectively separable , S 1 ( D , S fin ( O , ss , D ) , O ) , S 1 ( D , 1-tiny sequence , Hurewicz property , D ) , Selectively c.c.c. , Menger property , S 1 ( D , S fin ( O , S 1 ( O , D ) , D ) , O ) , D ) , Weakly Menger , Rothberger property , S 1 ( D , Weakly Hurewicz , c? , R-separable , S 1 ( O , S fin ( D , S fin ( D o , D ) , D ) , D ) , Weakly C ? , S fin ( D , Tiny sequence , S 1 ( O , D ) , S 1 ( D o , Dense families
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584133
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