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. © 2014 Elsevier B.V.

Diagonalizations of dense families / Bonanzinga, M.; Cammaroto, F.; Pansera, B. A.; Tsaban, B.. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 165:1(2014), pp. 12-25. [10.1016/j.topol.2014.01.001]

Diagonalizations of dense families

Pansera B. A.;
2014-01-01

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. © 2014 Elsevier B.V.
2014
C*
Dense families
Hurewicz property
M-separable
Menger property
R-separable
Rothberger property
S1(D,D)
S1(O,D)
Selection principles
Selectively c.c.c.
Selectively separable
Sfin(D,D)
1-tiny sequence
S1(Do,D)
S(D, D)
S1(O, D)
S1(O, O)
SfinS1(Do,D)
Sfin(D, D)
Sfin(O, D)
SS
Tiny sequence
Weakly
Weakly Hurewicz
Weakly Menger
Weakly Rothberger
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/83130
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