Ultrafilters and topologies on groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
<<de>> Gruyter
2011
|
| Schriftenreihe: | De Gruyter expositions in mathematics
50 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [211] - 216 |
| Beschreibung: | VIII, 219 S. |
| ISBN: | 9783110204223 |
Internformat
MARC
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| 245 | 1 | 0 | |a Ultrafilters and topologies on groups |c Yevhen G. Zelenyuk |
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| 300 | |a VIII, 219 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter expositions in mathematics |v 50 | |
| 500 | |a Literaturverz. S. [211] - 216 | ||
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Datensatz im Suchindex
| _version_ | 1804145591774609408 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE V
1 TOPOLOGICAL GROUPS I
1.1 THE NOTION OF A TOPOLOGICAL GROUP 1
1.2 THE NEIGHBORHOOD FILTER OF THE IDENTITY 4
1.3 THE TOPOLOGY T(F) 7
1.4 TOPOLOGIZING A GROUP 10
1.5 METRIZABLE REFINEMENTS 14
1.6 TOPOLOGIZABILITY OF A COUNTABLY INFINITE RING 18
2 ULTRAFILTERS 26
2.1 THE NOTION OF AN ULTRAFILTER 26
2.2 THE SPACE SSD 29
2.3 MARTIN S AXIOM 34
2.4 RAMSEY ULTRAFILTERS AND P -POINTS 36
2.5 MEASURABLE CARDINALS 39
3 TOPOLOGICAL SPACES WITH EXTREMAL PROPERTIES 41
3.1 FILTERS AND ULTRAFILTERS ON TOPOLOGICAL SPACES 41
3.2 SPACES WITH EXTREMAL PROPERTIES 42
3.3 IRRESOLVABILITY 46
4 LEFT INVARIANT TOPOLOGIES AND STRONGLY DISCRETE FILTERS 52
4. 1 LEFT TOPOLOGICAL SEMIGROUPS 52
4.2 THE TOPOLOGY T^] 54
4.3 STRONGLY DISCRETE FILTERS 56
4.4 INVARIANT TOPOLOGIES 63
5 TOPOLOGICAL GROUPS WITH EXTREMAL PROPERTIES 68
5.1 EXTREMALLY DISCONNECTED TOPOLOGICAL GROUPS 68
5.2 MAXIMAL TOPOLOGICAL GROUPS 71
5.3 NODEC TOPOLOGICAL GROUPS 72
5.4 / -POINT THEOREMS 76
6 THE SEMIGROUP SSS 82
6.1 EXTENDING THE OPERATION TO SSS 82
6.2 COMPACT RIGHT TOPOLOGICAL SEMIGROUPS 86
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010340751
DIGITALISIERT DURCH
IMAGE 2
VIII CONTENTS
6.3 HINDMAN S THEOREM 91
6.4 ULTRAFILTERS FROM K(SSS) 94
7 ULTRAFILTER SEMIGROUPS 97
7.1 THE SEMIGROUP ULT(5 ) 97
7.2 REGULARITY 101
7.3 HOMOMORPHISMS 105
8 FINITE GROUPS IN SSG 110
8.1 LOCAL LEFT GROUPS AND LOCAL HOMOMORPHISMS 110
8.2 TRIVIALITY OF FINITE GROUPS IN SSI 117
8.3 LOCAL AUTOMORPHISMS OF FINITE ORDER 120
8.4 FINITE GROUPS IN G* 128
9 IDEAL STRUCTURE OF SSG 130
9.1 LEFT IDEALS 130
9.2 RIGHT IDEALS 136
9.3 THE STRUCTURE GROUP OF K(SSG) 140
9.4 K(SSG) IS NOT CLOSED 144
10 ALMOST MAXIMAL TOPOLOGICAL GROUPS 147
10.1 CONSTRUCTION 147
10.2 PROPERTIES 150
10.3 SEMILATTICE DECOMPOSITIONS AND BURNSIDE SEMIGROUPS 154 10.4
PROJECTIVES 158
10.5 TOPOLOGICAL INVARIANTNESS OF ULT(7 ) 165
11 ALMOST MAXIMAL SPACES 170
11.1 RIGHT MAXIMAL IDEMPOTENTS IN H K 170
11.2 PROJECTIVITYOFULT(T) 174
11.3 THE SEMIGROUP C(P) 177
11.4 LOCAL MONOMORPHISMS 181
12 RESOLVABILITY 188
12.1 REGULAR HOMEOMORPHISMS OF FINITE ORDER 188
12.2 RESOLVABILITY OF TOPOLOGICAL GROUPS 194
12.3 ABSOLUTE RESOLVABILITY 198
13 OPEN PROBLEMS 208
BIBLIOGRAPHY 211
INDEX 217
|
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| author | Zelenyuk, Yevhen G. |
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| author_facet | Zelenyuk, Yevhen G. |
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| classification_rvk | SK 340 |
| ctrlnum | (OCoLC)712589124 (DE-599)OBVAC07845975 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV037314702 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T23:21:53Z |
| institution | BVB |
| isbn | 9783110204223 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022469037 |
| oclc_num | 712589124 |
| open_access_boolean | |
| owner | DE-11 DE-19 DE-BY-UBM DE-824 |
| owner_facet | DE-11 DE-19 DE-BY-UBM DE-824 |
| physical | VIII, 219 S. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | <<de>> Gruyter |
| record_format | marc |
| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Zelenyuk, Yevhen G. Verfasser (DE-588)143862782 aut Ultrafilters and topologies on groups Yevhen G. Zelenyuk Berlin [u.a.] <<de>> Gruyter 2011 VIII, 219 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 50 Literaturverz. S. [211] - 216 Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Ultrafilter Mathematik (DE-588)4273543-9 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 s Ultrafilter Mathematik (DE-588)4273543-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-021322-5 De Gruyter expositions in mathematics 50 (DE-604)BV004069300 50 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022469037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zelenyuk, Yevhen G. Ultrafilters and topologies on groups De Gruyter expositions in mathematics Topologische Gruppe (DE-588)4135793-0 gnd Ultrafilter Mathematik (DE-588)4273543-9 gnd |
| subject_GND | (DE-588)4135793-0 (DE-588)4273543-9 |
| title | Ultrafilters and topologies on groups |
| title_auth | Ultrafilters and topologies on groups |
| title_exact_search | Ultrafilters and topologies on groups |
| title_full | Ultrafilters and topologies on groups Yevhen G. Zelenyuk |
| title_fullStr | Ultrafilters and topologies on groups Yevhen G. Zelenyuk |
| title_full_unstemmed | Ultrafilters and topologies on groups Yevhen G. Zelenyuk |
| title_short | Ultrafilters and topologies on groups |
| title_sort | ultrafilters and topologies on groups |
| topic | Topologische Gruppe (DE-588)4135793-0 gnd Ultrafilter Mathematik (DE-588)4273543-9 gnd |
| topic_facet | Topologische Gruppe Ultrafilter Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022469037&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004069300 |
| work_keys_str_mv | AT zelenyukyevheng ultrafiltersandtopologiesongroups |