Continuity in the Coarse and Weak Shape Categories

被引：0

作者：

Nikica Uglešić

机构：

[1] University of Zadar,

来源：

Mediterranean Journal of Mathematics | 2012年 / 9卷

关键词：

Primary 55P55; Secondary 54D05; (Bi-pointed) inverse system; resolution; pro-reflective subcategory; expansion; (bi-pointed coarse, weak) shape; coarse (weak) shape path; transfinite induction;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The continuity theorems in the (abstract) coarse and weak shape categories are established. They also hold in the (standard) pointed and bi-pointed cases of topological spaces. An application of the bi-pointed continuity theorem in the standard (coarse) shape category is considered.

引用

页码：741 / 766

页数：25

共 50 条

[21] Weak equivalence of internal categories
Betti, R
APPLIED CATEGORICAL STRUCTURES, 2000, 8 (1-2) : 307 - 316
[22] SHAPE CATEGORIES IN GRAMMAR
FRIEDRIC.P
LINGUISTICS, 1972, (77) : 5 - 21
[23] Orientals as free weak ?-categories
Maehara, Yuki
JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (03)
[24] Weak omega-categories
Street, R
DIAGRAMMATIC MORPHISMS AND APPLICATIONS, 2003, 318 : 207 - 213
[25] WEAK BIALGEBRAS AND MONOIDAL CATEGORIES
Boehm, G.
Caenepeel, S.
Janssen, K.
COMMUNICATIONS IN ALGEBRA, 2011, 39 (12) : 4584 - 4607
[26] Weak bimonoids in duoidal categories
Chen, Yuanyuan
Boehm, Gabriella
JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (12) : 2240 - 2273
[27] Categories of coarse groups: Quasi-homomorphisms and functorial coarse structures
Dikranjan, Dikran
Zava, Nicolo
TOPOLOGY AND ITS APPLICATIONS, 2020, 273
[28] The coarse shape groups
Koceic-Bilan, Nikola
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (05) : 894 - 901
[29] (τ1, τ2)-continuity and weak (τ1, τ2)-continuity
Kong-ied, Butsakorn
Sompong, Supannee
Boonpok, Chawalit
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1321 - 1327
[30] Weak continuity with structural constraints
Sidiropoulos, ND
Baras, JS
Berenstein, CA
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (12) : 3096 - 3104

← 1 2 3 4 5 →