Diagonalizations of dense families

被引：18

作者：

Bonanzinga, Maddalena ^{[1
]}

Cammaroto, Filippo ^{[1
]}

Pansera, Bruno Antonio ^{[1
]}

Tsaban, Boaz ^{[2
]}

机构：

[1] Univ Messina, Dipartimento Matemat, I-98166 Messina, Italy

[2] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel

来源：

TOPOLOGY AND ITS APPLICATIONS | 2014年 / 165卷

关键词：

Dense families; Selection principles; S-fin; (O; O); Hurewicz property; Menger property; S-1(O; C; Rothberger property; (D; D); M-separable; Selectively separable; SS; S-1; S-1(D; R-separable; (D-o; Tiny sequence; 1-tiny sequence; Selectively c.c.c; Weakly Hurewicz; Weakly Menger; Weakly C; Weakly Rothberger; PIXLEY-ROY SPACES; SELECTIVE SEPARABILITY; OPEN COVERS; COMBINATORICS; SETS;

D O I：

10.1016/j.topol.2014.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：12 / 25

页数：14

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