C- and C*-quotients in pointfree topology:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
|
| Series: | Dissertationes mathematicae
412 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 62,II S. |
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| adam_text |
POLSKA AKADEMIA NAUK, INSTYTUT MATEMATYCZNY D I S S E R T A T I O N E S
M ATHEM ATIC AE (ROZPRAWY MATEMATYCZNE) KOMITET REDAKCYJNY ANDRZEJ
BIALYNICKI-BIRULA, BOGDAN BOJARSKI, ZBIGNIEW CIESIELSKI, LUDOMIR
NEWELSKI, ZBIGNIEW SEMADENI, JERZY ZABCZYK REDAKTOR, WIESLAW ZELAZKO
ZAST^PCA REDAKTORA 412 RICHARD N. BALL AND JOANNE WALTERS-WAYLAND C- AND
C*-QUOTIENTS IN POINTFREE TOPOLOGY SUBGFITTINGEN 7 ': 215 099 060 H
WARSZAWA 2002 CONTENTS 1. INTRODUCTION 5 2. BACKGROUND 5 2.1. FRAMES 6
2.2. UNIFORM FRAMES 9 2.3. ARCHIMEDEAN /-RINGS 10 3. CALCULATING IN CL
13 3.1. THE FUNDAMENTAL FORMULA 14 3.2. COZERO FACTS 15 3.3. DIVISION IN
CL 19 4. COMPLETENESS PROPERTIES OF CL 20 4.1. THE UNIFORM COMPLETENESS
OF CL 20 4.2. THE ^-COMPLETENESS OF CL 23 5. COZERO COVERS 27 5.1.
PRINCIPAL COVERS 27 5.2. LINKED COVERS AND TOWERS 30 6. COMPLETE
SEPARATION 35 6.1. COMPLETE SEPARATION IN ARCHIMEDEAN /-RINGS 35 6.2.
COMPLETE SEPARATION IN FRAMES 38 7. C-QUOTIENTS AND C*-QUOTIENTS 41 7.1.
C*-QUOTIENTS 41 7.2. C-QUOTIENTS 43 8. APPLICATIONS : 48 8.1. MAXIMAL
EXTENSIONS OF FRAME MAPS INTO DENSE QUOTIENTS 48 8.2. DENSE QUOTIENTS OF
COMPLETELY REGULAR FRAMES 51 8.3. NORMALITY 55 8.4. DISCONNECTIVITY .-
56 REFERENCES '. 61 2000 MATHEMATICS SUBJECT CLASSIFICATION: PRIMARY
06D22, 06F25; SECONDARY 54B30, 54G05, 54G10, 18B30. KEY WORDS AND
PHRASES: FRAME, C*-EMBEDDED SUBSPACE, ARCHIMEDEAN /-RING. RECEIVED
2.4.2001; REVISED VERSION 3.6.2002. |
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| discipline | Mathematik |
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| id | DE-604.BV017046061 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-31T20:04:08Z |
| institution | BVB |
| language | English |
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| physical | 62,II S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Ball, Richard N. Verfasser aut C- and C*-quotients in pointfree topology Richard N. Ball ; Joanne Walters-Wayland Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 62,II S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 412 Topological algebras Topology Vector lattices, Archimedean Walters-Wayland, Joanne Verfasser aut Dissertationes mathematicae 412 (DE-604)BV000003039 412 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010288217&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ball, Richard N. Walters-Wayland, Joanne C- and C*-quotients in pointfree topology Dissertationes mathematicae Topological algebras Topology Vector lattices, Archimedean |
| title | C- and C*-quotients in pointfree topology |
| title_auth | C- and C*-quotients in pointfree topology |
| title_exact_search | C- and C*-quotients in pointfree topology |
| title_full | C- and C*-quotients in pointfree topology Richard N. Ball ; Joanne Walters-Wayland |
| title_fullStr | C- and C*-quotients in pointfree topology Richard N. Ball ; Joanne Walters-Wayland |
| title_full_unstemmed | C- and C*-quotients in pointfree topology Richard N. Ball ; Joanne Walters-Wayland |
| title_short | C- and C*-quotients in pointfree topology |
| title_sort | c and c quotients in pointfree topology |
| topic | Topological algebras Topology Vector lattices, Archimedean |
| topic_facet | Topological algebras Topology Vector lattices, Archimedean |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010288217&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT ballrichardn candcquotientsinpointfreetopology AT walterswaylandjoanne candcquotientsinpointfreetopology |