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
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页码：12 / 25
页数：14
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