Modern general topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
North-Holland Publ.
1985
|
| Ausgabe: | 2., rev. ed. |
| Schriftenreihe: | North-Holland mathematical library
33 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 522 S. |
| ISBN: | 0444876553 |
Internformat
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| 245 | 1 | 0 | |a Modern general topology |c Jun-Iti Nagata |
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Datensatz im Suchindex
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| adam_text | MODERN- GENERAL TOPOLOGY JUN-ITI NAGATA UNIVERSITY OF AMSTERDAM SECOND
REVISED EDITION 1985 ^.~.__ NORTH-HOLLAND AMSTERDAM * NEW YORK * OXFORD
CONTENTS CHAPTER I INTRODUCTION 1. SET L 1 2. CARDINAL NUMBERS 5 3.
ORDINAL NUMBERS * 10 4. ZERMELO S THEOREM AND ZORN S LEMMA 16 5.
TOPOLOGY OF EUCLIDEAN PLANE 23 EXERCISE I 30 CHAPTER II BASIC CONCEPTS
IN TOPOLOGICAL SPACES . 1. TOPOLOGICAL SPACE 32 2. OPEN BASIS AND
NEIGHBORHOOD BASIS 38 3. CLOSURE 41 4. CONVERGENCE 47 5. COVERING 52 6.
MAPPING 56 7. SUBSPACE, PRODUCT SPACE, QUOTIENT SPACE AND INVERSE LIMIT
SPACE 60 8. CONNECTEDNESS 68 EXERCISE II 72 CHAPTER III VARIOUS
TOPOLOGICAL SPACES 1. T LT T 2 , REGULAR AND COMPLETELY REGULAR SPACES
77 2. NORMAL SPACE AND FULLY NORMAL SPACE 82 3. COMPACT SPACE AND
PARACOMPACT SPACE 96 4. AXIOMS OF COUNTABILITY 104 5. METRIC SPACE 109
EXERCISE III 120 CHAPTER IV COMPACT SPACES AND RELATED TOPICS 1. PRODUCT
OF COMPACT SPACES 124 2. COMPACTIFICATION 136 3. MORE OF
COMPACTIFICATIONS 145 4. COMPACT SPACE AND THE LATTICE OF CONTINUOUS
FUNCTIONS 157 5. EXTENSIONS OF THE CONCEPT OF COMPACTNESS 168 6.
REALCOMPACT SPACE 174 EXERCISE IV 185 IX CHAPTER V PARACOMPACT SPACES
AND RELATED TOPICS 1. FUNDAMENTAL THEOREM , 188 2. FURTHER PROPERTIES OF
PARACOMPACT SPACES 194 3. COUNTABLY PARACOMPACT SPACE AND COLLECTIONWISE
NORMAL SPACE , 205 4. MODIFICATIONS OF THE CONCEPT OF PARACOMPACTNESS
214 5. CHARACTERIZATION BY PRODUCT SPACES 223 EXERCISE V 241 CHAPTER VI
METRIZABLE SPACES AND RELATED TOPICS 1. METRIZABILITY 244 2. COMPLETE
METRIZABILITY 264 3. IMBEDDING 269 4. UNION AND IMAGE OF METRIZABLE
SPACES 275 5. UNIFORM SPACE 284 6. PROXIMITY SPACE 305 7. P-SPACE 316 8.
VARIOUS GENERALIZED METRIC SPACES 336 EXERCISE VI 358 CHAPTER VII TOPICS
RELATED TO MAPPINGS 1. MAPPING SPACE 361 2. METRIC SPACE, PARACOMPACT
SPACE AND CONTINUOUS MAPPING 381 3. METRIZATION OF M-SPACES 401 4.
THEORY OF INVERSE LIMIT SPACE 408 5. THEORY OF SELECTION 423 6. MORE OF
EXTENSION THEORY 443 7. CHARACTERIZATION OF TOPOLOGICAL PROPERTIES IN
TERMS OF C(X) 448 EXERCISE VII 453 CHAPTER VIII OTHER ASPECTS 1.
LINEARLY ORDERED SPACE 456 2. CARDINAL FUNCTIONS 467 3. DYADIC SPACE .
476 4. MEASURE AND TOPOLOGICAL SPACE 482 EXERCISE VIII 493 EPILOGUE 495
BIBLIOGRAPHY 496 INDEX 517 X
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2., rev. ed. |
| format | Book |
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| id | DE-604.BV000561601 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:15:42Z |
| institution | BVB |
| isbn | 0444876553 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000345997 |
| oclc_num | 11784563 |
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| physical | X, 522 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | North-Holland Publ. |
| record_format | marc |
| series | North-Holland mathematical library |
| series2 | North-Holland mathematical library |
| spelling | Nagata, Jun-iti 1925-2007 Verfasser (DE-588)1052704034 aut Modern general topology Jun-Iti Nagata 2., rev. ed. Amsterdam [u.a.] North-Holland Publ. 1985 X, 522 S. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematical library 33 Topology Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s DE-604 North-Holland mathematical library 33 (DE-604)BV000005206 33 HEBIS Datenaustausch Mainz application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000345997&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nagata, Jun-iti 1925-2007 Modern general topology North-Holland mathematical library Topology Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4060425-1 |
| title | Modern general topology |
| title_auth | Modern general topology |
| title_exact_search | Modern general topology |
| title_full | Modern general topology Jun-Iti Nagata |
| title_fullStr | Modern general topology Jun-Iti Nagata |
| title_full_unstemmed | Modern general topology Jun-Iti Nagata |
| title_short | Modern general topology |
| title_sort | modern general topology |
| topic | Topology Topologie (DE-588)4060425-1 gnd |
| topic_facet | Topology Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000345997&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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