Topologies on groups determined by sequences:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Lviv
VNTL Publ.
1999
|
| Schriftenreihe: | Mathematical studies Monograph series
4 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 111 S. |
Internformat
MARC
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| 100 | 1 | |a Protasov, Ihor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topologies on groups determined by sequences |c I. Protasov ; E. Zelenyuk |
| 264 | 1 | |a Lviv |b VNTL Publ. |c 1999 | |
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Datensatz im Suchindex
| _version_ | 1804150188704530432 |
|---|---|
| adam_text | Contents
Chapter
1.
Background
....................... 7
1.1.
Filters and topologies
......................... 7
1.2.
Topological groups and rings
..................... 9
Chapter
2.
T-sequences in Abelian groups
........... 11
2.1.
Г
-fìlters
and T-sequences
....................... 12
2.2.
T-sequences in
Z
........................... 21
2.3.
Sequentiality and completeness
................... 28
2.4.
Complementability
.......................... 35
2.5.
Refinements
.............................. 42
2.6.
Characters
............................... 52
Chapter
3.
T-sequences in countable groups and rings
... 61
3.1.
Г
-filters
on groups
.......................... 61
3.2.
Т
-sequences in countable groups
................... 66
3.3.
Г
-fìlters
on rings
........................... 72
3.4.
Т
-sequences in countable rings
.................... 76
Chapter
4.
Topologies determined by compact subsets
... 81
4.1.
^-spaces and /^-groups
....................... 82
4.2.
Condensation
............................. 86
4.3.
Topological classification of countable /^-groups
.......... 92
Contents
4
Q7
Chapter
5.
Discrete subsets and expansive sequences
....
5.1.
Groups with only trivial convergent sequences
...........
5.2.
Discrete subsets of topological groups
................
5.3.
Expansive sequences of finite subsets
................
υ
|
| any_adam_object | 1 |
| author | Protasov, Ihor Zelenjuk, Evghen |
| author_facet | Protasov, Ihor Zelenjuk, Evghen |
| author_role | aut aut |
| author_sort | Protasov, Ihor |
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| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:34:57Z |
| institution | BVB |
| language | English |
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| publishDateSearch | 1999 |
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| publisher | VNTL Publ. |
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| series | Mathematical studies Monograph series |
| series2 | Mathematical studies : Monograph series |
| spelling | Protasov, Ihor Verfasser aut Topologies on groups determined by sequences I. Protasov ; E. Zelenyuk Lviv VNTL Publ. 1999 111 S. txt rdacontent n rdamedia nc rdacarrier Mathematical studies : Monograph series 4 Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 s DE-604 Zelenjuk, Evghen Verfasser aut Mathematical studies Monograph series 4 (DE-604)BV040230494 4 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884459&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Protasov, Ihor Zelenjuk, Evghen Topologies on groups determined by sequences Mathematical studies Monograph series Topologische Gruppe (DE-588)4135793-0 gnd |
| subject_GND | (DE-588)4135793-0 |
| title | Topologies on groups determined by sequences |
| title_auth | Topologies on groups determined by sequences |
| title_exact_search | Topologies on groups determined by sequences |
| title_full | Topologies on groups determined by sequences I. Protasov ; E. Zelenyuk |
| title_fullStr | Topologies on groups determined by sequences I. Protasov ; E. Zelenyuk |
| title_full_unstemmed | Topologies on groups determined by sequences I. Protasov ; E. Zelenyuk |
| title_short | Topologies on groups determined by sequences |
| title_sort | topologies on groups determined by sequences |
| topic | Topologische Gruppe (DE-588)4135793-0 gnd |
| topic_facet | Topologische Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884459&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040230494 |
| work_keys_str_mv | AT protasovihor topologiesongroupsdeterminedbysequences AT zelenjukevghen topologiesongroupsdeterminedbysequences |