LIMITS IN THE CATEGORY OF STRUCTURAL TOPOLOGICAL SPACES

被引：0

作者：

Kazemi Baneh, M.Z. ^{[1
]}

Hosseini, S.N. ^{[2
]}

机构：

[1] Department of Mathematics, Faculty of Sciences, University of Kurdistan, Kurdistan, Iran

[2] Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2024年 / 86卷 / 02期

关键词：

Concretes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce the notion of topological structure, and relative to that the notions of structural topology as well as structural continuity are given. We show that for a given topological structure, structural topological spaces together with structural continuous morphisms form a concrete category. We then give the construction of the induced, coinduced, discrete and indiscrete structural topologies, proving certain results that hold for topological spaces also hold for structural topological spaces. We demonstrate that if the base category is (finitely) complete, then the category of structural topological spaces is concretely (finitely) complete. Finally we provide some illustrative examples. © 2024, Politechnica University of Bucharest. All rights reserved.

引用

页码：55 / 70

共 50 条

[1] LIMITS IN THE CATEGORY OF STRUCTURAL TOPOLOGICAL SPACES
Baneh, M. Z. Kazemi
Hosseini, S. N.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (02): : 55 - 70
[2] Topological structure of direct limits in the category of uniform spaces
Banakh, Taras
Repovs, Dusan
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (06) : 1091 - 1100
[3] ODDS AND ENDS ON METRIZABILITY OF INDUCTIVE LIMITS IN THE CATEGORY OF TOPOLOGICAL-SPACES
PECHANECDRAHOS, J
MATHEMATISCHE NACHRICHTEN, 1983, 113 : 17 - 28
[4] A CONVENIENT CATEGORY OF TOPOLOGICAL SPACES
STEENROD, NE
MICHIGAN MATHEMATICAL JOURNAL, 1967, 14 (02) : 133 - &
[5] Limits in the category of topological molecular lattices
Chin Sci Bull, 17 (1409):
[6] Limits in the category of topological molecular lattices
赵彬
Chinese Science Bulletin, 1996, (17) : 1409 - 1413
[7] Limits in the category of topological molecular lattices
Zhao, B
CHINESE SCIENCE BULLETIN, 1996, 41 (17): : 1409 - 1413
[8] AN ELEMENTARY THEORY OF CATEGORY OF TOPOLOGICAL SPACES
SCHLOMIUK, DI
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 149 (01) : 259 - +
[9] The Quillen model category of topological spaces
Hirschhorn, Philip S.
EXPOSITIONES MATHEMATICAE, 2019, 37 (01) : 2 - 24
[10] Limits in the category Seg of Segal topological algebras
Abel, Mart
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2022, 71 (02) : 203 - 211

← 1 2 3 4 5 →