Effective descent morphisms in categories of lax algebras

被引：24

作者：

Clementino, MM ^{[1
]}

Hofmann, D

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

来源：

APPLIED CATEGORICAL STRUCTURES | 2004年 / 12卷 / 5-6期

关键词：

monad; effective descent morphism; lax algebra;

D O I：

10.1023/B:APCS.0000049310.37773.fa

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are of effective descent, result that extends the corresponding results for the category of topological spaces and continuous maps.

引用

页码：413 / 425

页数：13

共 50 条

[31] Cauchy Completeness, Lax Epimorphisms and Effective Descent for Split Fibrations
Nunes, Fernando Lucatelli
Prezado, Rui
Sousa, Lurdes
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2023, 30 (01) : 130 - 139
[32] DESCENT BY PURE MORPHISMS
OLIVIER, JP
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (17): : 821 - &
[33] Aggregation functions as lax morphisms of quantales
Fructuoso-Bonet, Alejandro
Rodriguez-Lopez, Jesus
FUZZY SETS AND SYSTEMS, 2025, 513
[34] ON LAX LIMITS IN ∞-CATEGORIES
Berman, John D.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024,
[35] Effective descent morphisms in some quasivarieties of algebraic, relational, and more general structures
Roque, AH
APPLIED CATEGORICAL STRUCTURES, 2004, 12 (5-6) : 513 - 525
[36] Effective Étale-Descent Morphisms in the Category of M-ordered Sets
Pier Giorgio Basile
Applied Categorical Structures, 2017, 25 : 77 - 82
[37] Effective Aetale-Descent Morphisms in the Category of M-ordered Sets
Basile, Pier Giorgio
APPLIED CATEGORICAL STRUCTURES, 2017, 25 (01) : 77 - 82
[38] DEDEKIND CATEGORIES - TRANSITIVE MORPHISMS IN THE SCHRODER CATEGORIES
OLIVIER, JP
SERRATO, D
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 290 (20): : 939 - 941
[39] Effective Descent Morphisms in Some Quasivarieties of Algebraic, Relational, and More General Structures
Ana Helena Roque
Applied Categorical Structures, 2004, 12 : 513 - 525
[40] NOTES ON EFFECTIVE DESCENT AND PROJECTIVITY IN QUASIVARIETIES OF UNIVERSAL ALGEBRAS
Roque, Ana Helena
THEORY AND APPLICATIONS OF CATEGORIES, 2008, 21 : 172 - 181

← 1 2 3 4 5 →