ON REFLECTIVE SUBCATEGORIES OF LOCALLY PRESENTABLE CATEGORIES Dedicated to the memory of Horst Herrlich

被引：0

作者：

Adamek, J. ^{[1
]}

Rosick, J. ^{[2
]}

机构：

[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Theoret Informat, D-38032 Braunschweig, Germany

[2] Masaryk Univ, Fac Sci, Dept Math & Stat, CS-61137 Brno, Czech Republic

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2015年 / 30卷

关键词：

locally presentable category; reflective subcategory; elementary equivalence; INJECTIVITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Are all subcategories of locally finitely presentable categories that are closed under limits and lambda-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case lambda = N-0, the answer is affirmative also for all iso-full subcategories, i. e., those containing with every pair of objects all isomorphisms between them. We discuss a possible generalization of this from N-0 to an arbitrary lambda.

引用

页码：1306 / 1318

页数：13

共 45 条

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[2] ON ORTHOGONAL SUBCATEGORIES OF LOCALLY PRESENTABLE CATEGORIES
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[3] Special Issue Dedicated to the Memory of Professor Horst Herrlich Guest Editors' Introduction
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ROSICKY, J
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[10] ON REFLECTIVE SUBCATEGORIES OF QUASIABELIAN CATEGORIES
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