The proper homotopy of Alexandroff spaces

被引：0

作者：

Fernandez-Bayort, Tomas ^{[1
]}

Luque, Alvaro ^{[2
]}

Quintero, Antonio ^{[2
]}

机构：

[1] Inst Pablo Neruda, Dept Matemat, C Manuel Rodriguez Navarro 4, Seville 41950, Spain

[2] Univ Seville, Fac Matemat, Dept Geometria & Topol, Apartado 1160, Seville 41080, Spain

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 07期

关键词：

Proper homotopy; locally finite spaces; proper inverse limit;

D O I：

10.2989/16073606.2024.2323159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces the study of the infinity in the class of Alexandroff spaces by establishing the proper category of locally finite Alexandroff spaces. We observe that the McCord and Clader theorems are available in this setting. The paper can be considered as the starting point of a seemingly new research: relating the combinatorics and topology of the proper category of Alexandroff spaces to the proper invariants used in the geometric topology of non-compact polyhedra and manifolds.

引用

页码：1413 / 1428

页数：16

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