The Pontryagin duality of compact 0-dimensional semilattices and its applications:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1974
|
| Series: | Lecture notes in mathematics
396 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 122 S. graph. Darst. |
| ISBN: | 3540068074 0387068074 |
Staff View
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| 245 | 1 | 0 | |a The Pontryagin duality of compact 0-dimensional semilattices and its applications |c Karl Heinrich Hofmann ; Michael Mislove ; Albert Stralka |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
CHAPTER 0. Preliminaries 1
Section 1. About dense subcategories and the
extension of natural transformations-- 1
CHAPTER I. The category of discrete semilattices and
the category of compact zero-dimensional
semilattices 5
Seqtion 1. The category of discrete
semilattices 5
Section 2. The category of compact zero-
dimensional semilattices 13
Section 3. Characters and the duality
between S_ and Z_ 17
Section 4-. General consequences of duality 21
HISTORICAL NOTES FOR CHAPTERS 0 AND I 27
CHAPTER II. The character theory of compact and
discrete semilattices 28
Section 1. The category of zero-dimensional
compact semilattices 28
Section 2. Characters and filters on discrete
semilattices 34
Section 3. The algebraic characterization of
the category Z_ 37
HISTORICAL NOTES FOR CHAPTER II 50
CHAPTER III. Application of duality to lattice theory— 53
Section 1. Primes and duality 53
Section 2. Duality and Boolean lattices 78
Section 3. Projectives and injectives in
S_ and Z 85
HISTORICAL NOTES FOR CHAPTER III 88
CHAPTER IV. Applications of duality to the structure
of compact zero-dimensional semilattices— 92
Section 1. Cardinality invariants 92
Section 2. Chains and stability 95
VI
Section 3. Extremally disconnected
compact semilattices 105
HISTORICAL NOTES FOR CHAPTER IV 108
BIBLIOGRAPHY 109
NOTATION 115
INDEX 118
|
| any_adam_object | 1 |
| author | Hofmann, Karl H. 1932- Mislove, Michael W. Stralka, Albert |
| author_GND | (DE-588)115780734 (DE-588)121523446 |
| author_facet | Hofmann, Karl H. 1932- Mislove, Michael W. Stralka, Albert |
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| author_sort | Hofmann, Karl H. 1932- |
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| indexdate | 2024-07-09T15:52:51Z |
| institution | BVB |
| isbn | 3540068074 0387068074 |
| language | English |
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| physical | XVI, 122 S. graph. Darst. |
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| publishDate | 1974 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Hofmann, Karl H. 1932- Verfasser (DE-588)115780734 aut The Pontryagin duality of compact 0-dimensional semilattices and its applications Karl Heinrich Hofmann ; Michael Mislove ; Albert Stralka Berlin [u.a.] Springer 1974 XVI, 122 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 396 Semi-groupes Treillis, Théorie des Duality theory (Mathematics) Semigroups Semilattices Halbverband (DE-588)4158832-0 gnd rswk-swf Pontrjagin-Dualität (DE-588)4365532-4 gnd rswk-swf Halbgitter gnd rswk-swf Halbverband (DE-588)4158832-0 s Pontrjagin-Dualität (DE-588)4365532-4 s DE-604 Halbgitter f Mislove, Michael W. Verfasser (DE-588)121523446 aut Stralka, Albert Verfasser aut Lecture notes in mathematics 396 (DE-604)BV000676446 396 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001912280&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hofmann, Karl H. 1932- Mislove, Michael W. Stralka, Albert The Pontryagin duality of compact 0-dimensional semilattices and its applications Lecture notes in mathematics Semi-groupes Treillis, Théorie des Duality theory (Mathematics) Semigroups Semilattices Halbverband (DE-588)4158832-0 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
| subject_GND | (DE-588)4158832-0 (DE-588)4365532-4 |
| title | The Pontryagin duality of compact 0-dimensional semilattices and its applications |
| title_auth | The Pontryagin duality of compact 0-dimensional semilattices and its applications |
| title_exact_search | The Pontryagin duality of compact 0-dimensional semilattices and its applications |
| title_full | The Pontryagin duality of compact 0-dimensional semilattices and its applications Karl Heinrich Hofmann ; Michael Mislove ; Albert Stralka |
| title_fullStr | The Pontryagin duality of compact 0-dimensional semilattices and its applications Karl Heinrich Hofmann ; Michael Mislove ; Albert Stralka |
| title_full_unstemmed | The Pontryagin duality of compact 0-dimensional semilattices and its applications Karl Heinrich Hofmann ; Michael Mislove ; Albert Stralka |
| title_short | The Pontryagin duality of compact 0-dimensional semilattices and its applications |
| title_sort | the pontryagin duality of compact 0 dimensional semilattices and its applications |
| topic | Semi-groupes Treillis, Théorie des Duality theory (Mathematics) Semigroups Semilattices Halbverband (DE-588)4158832-0 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
| topic_facet | Semi-groupes Treillis, Théorie des Duality theory (Mathematics) Semigroups Semilattices Halbverband Pontrjagin-Dualität Halbgitter |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001912280&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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