Some topological and combinatorial properties preserved by inverse limits-Reference-Cited by-同舟云学术

Some topological and combinatorial properties preserved by inverse limits

Published:2019-01-22 Issue:1 Volume:69 Page:171-184
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Camargo Javier¹,Uzcátegui Carlos²

Affiliation:

1. Escuela de Matemáticas Facultad de Ciencias , Universidad Industrial de Santander Ciudad Universitaria , Carrera 27 Calle 9 , Bucaramanga Santander , A.A. 678 , Colombia

2. Centro Interdisciplinario de Lógica y Álgebra Facultad de Ciencias , Universidad de Los Andes , Mérida , Venezuela

Abstract

Abstract We show that the following properties are preserved under inverse limits: countable fan-tightness, q +, discrete generation and selective separability. We also present several examples based on inverse limits of countable spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0212/pdf

Reference21 articles.

1. Alas, O.—Wilson, R.: Products of (weakly) discretely generated spaces, Topology Appl. 160(3) (2013), 532–537.10.1016/j.topol.2013.01.003

2. Arhangelskii, A. V.—Bella, A.: Countable fan-tightness versus countable tightness, Comment. Math. Univ. Carolin. 37(3) (1996), 565–576.

3. Barman, D.—Dow, A.: Selective separability and SS+, Topology Proc. 37 (2011), 181–204.

4. Bella, A.—Bonanzinga, M.—Matveev, M.—Tkachuk, V.: Selective separability: general facts and behavior in countable spaces, Topology Proc. 32 (2008), 15–30.

5. Bella, A.—Simon, P.: Spaces which are generated by discrete sets, Topology Appl. 135(1–3) (2004), 87–99.10.1016/S0166-8641(03)00156-1

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