Lax descent theorems for left exact categories:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
1995
|
| Series: | Dissertationes mathematicae
346 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 55 S. graph. Darst. |
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MARC
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Record in the Search Index
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| adam_text |
POLSKA AKADE SH^IIWHPO 0 " 7 MATEMATYCZNY 204 499 445 98 A15110 D I S S
E R T A T I O N E S M A T H E M A T I C A E (ROZPRAWY MATEMATYCZNE)
KOMITET REDAKCYJNY BOGDAN BOJARSKI REDAKTOR WIESLAW ZELAZKO ZAST^PCA
REDAKTORA ANDRZEJ BIALYNICKI-BIRULA, ZBIGNIEW CIESIELSKI, JERZY LOS,
ZBIGNIEW SEMADENI CCCXLVI MAREK W. ZAWADOWSKI LAX DESCENT THEOREMS FOR
LEFT EXACT CATEGORIES WARSZAWA 1995 CONTENTS 0. INTRODUCTION 5 1. BASIC
NOTIONS 6 1.1. EFFECTIVE DESCENT MORPHISMS 7 1.2. LEFT EXACT CATEGORIES
9 1.3. FACTORISATIONS IN LEX 11 1.4. DESCENT THEOREM FOR EXACT
CATEGORIES 16 2. THE EXACT COMPLETION OF THE LEFT EXACT CATEGORIES 17 3.
A CHARACTERISATION OF THE DESCENT CATEGORY 24 4. A CHARACTERISATION OF
THE EFFECTIVE DESCENT MORPHISMS IN LEX 30 5. SOME FURTHER RESULTS 34 6.
THE FALSE QUOTIENT-STRONGLY CONSERVATIVE FACTORISATION IN LEX 36 7.
CONSERVATIVE MORPHISMS IN LE X 44 REFERENCES 51 ABSTRACT WE STUDY THE
2-CATEGORY OF CATEGORIES WITH FINITE LIMITS, LEX. WE CHARACTERISE
DESCENT, EF- FECTIVE DESCENT AND CHAIN DESCENT MORPHISMS. THESE CLASSES
OF MORPHISMS DO NOT COINCIDE IN LEX. WE ALSO STUDY RELATIONS BETWEEN
THESE AND OTHER NATURALLY ARISING CLASSES OF CONSERVATIVE MORPHISMS. WE
DEFINE, IN A SEMANTICAL WAY, A NEW FALSE QUOTIENT-STRONGLY CONSERVATIVE
FACTORI- SATION IN LEX. WE PROVE THAT THE ITERATION OF THE DESCENT
CONSTRUCTION EVENTUALLY "STOPS" AT THIS FACTORISATION. THIS GIVES A
SYNTACTIC DESCRIPTION OF THE FACTORISATION. 1991 MATHEMATICS SUBJECT
CLASSIFICATION: PRIMARY 03G30, 18C10; SECONDARY 03C40, 18D05. RECEIVED
18.5.1992; REVISED VERSION 28.8.1994. |
| any_adam_object | 1 |
| author | Zawadowski, Marek |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 390 |
| ctrlnum | (OCoLC)33934943 (DE-599)BVBBV010598463 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010598463 |
| illustrated | Illustrated |
| indexdate | 2025-02-24T11:02:47Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007068388 |
| oclc_num | 33934943 |
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| physical | 55 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Zawadowski, Marek Verfasser aut Lax descent theorems for left exact categories Marek W. Zawadowski Warszawa Polska Akad. Nauk, Inst. Matematyczny 1995 55 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 346 Categories (Mathematics) Morphisms (Mathematics) Theory of descent (Mathematics) Dissertationes mathematicae 346 (DE-604)BV000003039 346 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007068388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zawadowski, Marek Lax descent theorems for left exact categories Dissertationes mathematicae Categories (Mathematics) Morphisms (Mathematics) Theory of descent (Mathematics) |
| title | Lax descent theorems for left exact categories |
| title_auth | Lax descent theorems for left exact categories |
| title_exact_search | Lax descent theorems for left exact categories |
| title_full | Lax descent theorems for left exact categories Marek W. Zawadowski |
| title_fullStr | Lax descent theorems for left exact categories Marek W. Zawadowski |
| title_full_unstemmed | Lax descent theorems for left exact categories Marek W. Zawadowski |
| title_short | Lax descent theorems for left exact categories |
| title_sort | lax descent theorems for left exact categories |
| topic | Categories (Mathematics) Morphisms (Mathematics) Theory of descent (Mathematics) |
| topic_facet | Categories (Mathematics) Morphisms (Mathematics) Theory of descent (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007068388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT zawadowskimarek laxdescenttheoremsforleftexactcategories |