Structures in topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
1971
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
115 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 96 S. |
| ISBN: | 0821818155 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
INTRODUCTION
A. Preliminary remarks 1
B. Preliminaries: topology 2
C. Preliminaries: extensions 3
D. Preliminaries: categories 5
PART I: STRUCTURES
A. Structures 6
B. Round filters and cauchy filters 7
C. Complete extension structures; completion
structures 10
D. The structure induced by a function 14
E. Structure maps; s maps 17
F. Products and subspaces 19
G. Structures for a space 25
H. The lattice of structures 25
v
PART II: COMPLETE EXTENSIONS AND COMPLETIONS
A. Complete extensions and completions 29
B. Simple complete extension structures 33
C. The largest complete extension 3 7
D. s maps and c maps 39
E. Complete extensions and completions
as functors 41
PART III: APPLICATIONS
RT. Closed subspaces and retracts 43
H. Hausdorff spaces 45
D. Distinguished covers; d structures; i maps 46
K. Compact Spaces 48
RK. Realcompact spaces 53
HC. Hausdorff closed spaces 54
S. Semiregular spaces 6 5
M. Minimal Hausdorff spaces 69
RC. Regular closed and ifC regular spaces 74
LC. Locally compact spaces 78
LH. Locally ff closed spaces 87
REFERENCES 93
UNIVERSITY OF KANSAS
LAWRENCE, KANSAS
MARQUETTE UNIVERSITY
MILWAUKEE, WISCONSIN
vi
|
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| discipline | Mathematik |
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| physical | VI, 96 S. |
| publishDate | 1971 |
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| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Harris, Douglas Verfasser aut Structures in topology by Douglas Harris Providence, R.I. American Mathematical Society 1971 VI, 96 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 115 Zugl.: Lawrence, Kan., Univ. of Kansas, Diss., 1971 Espaces uniformes Topologia larpcal Topologie Proximity spaces Uniform spaces Topologische Struktur (DE-588)4332615-8 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Topologischer Raum (DE-588)4137586-5 s DE-604 Topologische Struktur (DE-588)4332615-8 s American Mathematical Society: Memoirs of the American Mathematical Society 115 (DE-604)BV008000141 115 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003565737&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4332615-8 (DE-588)4137586-5 (DE-588)4113937-9 |
| title | Structures in topology |
| title_auth | Structures in topology |
| title_exact_search | Structures in topology |
| title_full | Structures in topology by Douglas Harris |
| title_fullStr | Structures in topology by Douglas Harris |
| title_full_unstemmed | Structures in topology by Douglas Harris |
| title_short | Structures in topology |
| title_sort | structures in topology |
| topic | Espaces uniformes Topologia larpcal Topologie Proximity spaces Uniform spaces Topologische Struktur (DE-588)4332615-8 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Espaces uniformes Topologia Topologie Proximity spaces Uniform spaces Topologische Struktur Topologischer Raum Hochschulschrift |
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