Diagonalizations of dense families

Maddalena Bonanzinga; Filippo Cammaroto; Bruno Antonio Pansera; Boaz Tsaban

doi:https://doi.org/10.1016/j.topol.2014.01.001

Diagonalizations of dense families

Maddalena Bonanzinga, Filippo Cammaroto, Bruno Antonio Pansera, Boaz Tsaban

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	12-25
Number of pages	14
Journal	Topology and its Applications
Volume	165
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2014.01.001
State	Published - 15 Mar 2014

Keywords

(, D)
(, D)
(D, D)
(D, D)
(O, D)
(O, D)
(O, O)
(O, O)
1-tiny sequence
C″
Dense families
Hurewicz property
M-separable
Menger property
R-separable
Rothberger property
S1(D,D)
S1(O,D)
SS
Selection principles
Selectively c.c.c.
Selectively separable
Sfin(D,D)
Tiny sequence
Weakly
Weakly Hurewicz
Weakly Menger
Weakly Rothberger

All Science Journal Classification (ASJC) codes

Geometry and Topology

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https://doi.org/10.1016/j.topol.2014.01.001

Cite this

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title = "Diagonalizations of dense families",

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.",

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author = "Maddalena Bonanzinga and Filippo Cammaroto and Pansera, {Bruno Antonio} and Boaz Tsaban",

year = "2014",

month = mar,

day = "15",

doi = "https://doi.org/10.1016/j.topol.2014.01.001",

language = "الإنجليزيّة",

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T1 - Diagonalizations of dense families

AU - Bonanzinga, Maddalena

AU - Cammaroto, Filippo

AU - Pansera, Bruno Antonio

AU - Tsaban, Boaz

PY - 2014/3/15

Y1 - 2014/3/15

N2 - 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.

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KW - M-separable

KW - Menger property

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KW - Rothberger property

KW - S1(D,D)

KW - S1(O,D)

KW - SS

KW - Selection principles

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KW - Selectively separable

KW - Sfin(D,D)

KW - Tiny sequence

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KW - Weakly Rothberger

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DO - https://doi.org/10.1016/j.topol.2014.01.001

M3 - مقالة

SN - 0166-8641

VL - 165

SP - 12

EP - 25

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Diagonalizations of dense families

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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