Set theory:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English German |
Veröffentlicht: |
New York, N. Y.
Chelsea Publ.Comp.
1962
|
Ausgabe: | 2. ed. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Transl. from the German |
Beschreibung: | 352 S. graph. Darst. |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV003007030 | ||
003 | DE-604 | ||
005 | 20000829 | ||
007 | t | ||
008 | 900725s1962 d||| |||| 00||| eng d | ||
035 | |a (OCoLC)1555657 | ||
035 | |a (DE-599)BVBBV003007030 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 1 | |a eng |h ger | |
049 | |a DE-384 |a DE-355 |a DE-20 |a DE-188 | ||
050 | 0 | |a QA248 | |
082 | 0 | |a 512.817 | |
084 | |a SK 150 |0 (DE-625)143218: |2 rvk | ||
100 | 1 | |a Hausdorff, Felix |d 1868-1942 |e Verfasser |0 (DE-588)118709151 |4 aut | |
240 | 1 | 0 | |a Mengenlehre |
245 | 1 | 0 | |a Set theory |c by Felix Hausdorff |
250 | |a 2. ed. | ||
264 | 1 | |a New York, N. Y. |b Chelsea Publ.Comp. |c 1962 | |
300 | |a 352 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Transl. from the German | ||
650 | 7 | |a Ensembles, Théorie des |2 erameau | |
650 | 4 | |a Granulats | |
650 | 7 | |a Teoria Dos Conjuntos |2 larpcal | |
650 | 7 | |a Teoria Dos Grupos |2 larpcal | |
650 | 4 | |a Set theory | |
650 | 0 | 7 | |a Mengenlehre |0 (DE-588)4074715-3 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
689 | 0 | 0 | |a Mengenlehre |0 (DE-588)4074715-3 |D s |
689 | 0 | |5 DE-604 | |
856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001882471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-001882471 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804117295998435328 |
---|---|
adam_text | TABLE OF CONTENTS
Editor s Preface 3
From the Preface to the Second Edition 5
Preface to Third Edition 6
Preliminary Remarks 9
I. Sets and the Combining of Sets 11
§ 1. Sets 11
§ 2. Functions 15
§ 3. Sum and Intersection 18
§ 4. Product and Power 23
II. Cardinal Numbers 28
§ 5. Comparison of Sets 28
§ 6. Sum, Product, and Power 33
§ 7. The Scale of Cardinal Numbers 37
§ 8. The Elementary Cardinal Numbers 41
III. Order Types 48
§9. Order 48
§ 10. Sum and Product 51
§ 11. The Types K, and X 57
IV. Ordinal Numbers 65
§ 12. The Well Ordering Theorem 65
§ 13. The Comparability of Ordinal Numbers 68
§ 14. The Combining of Ordinal Numbers 73
§ 15. The Alefs 81
§ 16. The General Concept of Product 85
V. Systems of Sets 90
§ 17. Rings and Fields 90
§ 18. Borel Systems 96
§ 19. Suslin Sets 105
7
8 Table of Contents
VI. Point Sets 109
§ 20. Distance 109
§ 21. Convergence 119
§ 22. Interior Points and Border Points 127
§ 23. The a, /?, and y Points 130
§ 24. Relative and Absolute Concepts 139
§ 25. Separable Spaces 143
§ 26. Complete Spaces 149
§ 27. Sets of the First and Second Categories 159
§ 28. Spaces of Sets 166
§ 29. Connectedness 172
VII. Point Sets and Ordinal Numbers 188
§ 30. Hulls and Kernels 188
§ 31. Further Applications of Ordinal Numbers 198
§ 32. Borel and Suslin Sets 203
§ 33. Existence Proofs 206
§ 34. Criteria for Borel Sets 210
VIII. Mappings of Two Spaces 221
§ 35. Continuous Mappings 221
§ 36. Interval Images 228
§ 37. Images of Suslin Sets 236
§ 38. Homeomorphism 242
§ 39. Simple Curves 249
§ 40. Topological Spaces 257
IX. Real Functions 264
§ 41. Functions and Inverse Image Sets 264
§ 42. Functions of the First Class 280
§ 43. Baire Functions 291
§ 44. Sets of Convergence 305
X. Supplement 312
§ 45. The Baire Condition 312
§ 46. Half schlicht Mappings 326
Appendixes 336
Bibliography 340
Further References 342
Index 347
|
any_adam_object | 1 |
author | Hausdorff, Felix 1868-1942 |
author_GND | (DE-588)118709151 |
author_facet | Hausdorff, Felix 1868-1942 |
author_role | aut |
author_sort | Hausdorff, Felix 1868-1942 |
author_variant | f h fh |
building | Verbundindex |
bvnumber | BV003007030 |
callnumber-first | Q - Science |
callnumber-label | QA248 |
callnumber-raw | QA248 |
callnumber-search | QA248 |
callnumber-sort | QA 3248 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 150 |
ctrlnum | (OCoLC)1555657 (DE-599)BVBBV003007030 |
dewey-full | 512.817 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.817 |
dewey-search | 512.817 |
dewey-sort | 3512.817 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 2. ed. |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01611nam a2200445 c 4500</leader><controlfield tag="001">BV003007030</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20000829 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1962 d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1555657</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003007030</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">ger</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA248</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.817</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 150</subfield><subfield code="0">(DE-625)143218:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hausdorff, Felix</subfield><subfield code="d">1868-1942</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118709151</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Mengenlehre</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Set theory</subfield><subfield code="c">by Felix Hausdorff</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, N. Y.</subfield><subfield code="b">Chelsea Publ.Comp.</subfield><subfield code="c">1962</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">352 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Transl. from the German</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Ensembles, Théorie des</subfield><subfield code="2">erameau</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Granulats</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Teoria Dos Conjuntos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Teoria Dos Grupos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Set theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mengenlehre</subfield><subfield code="0">(DE-588)4074715-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mengenlehre</subfield><subfield code="0">(DE-588)4074715-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001882471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001882471</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV003007030 |
illustrated | Illustrated |
indexdate | 2024-07-09T15:52:08Z |
institution | BVB |
language | English German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001882471 |
oclc_num | 1555657 |
open_access_boolean | |
owner | DE-384 DE-355 DE-BY-UBR DE-20 DE-188 |
owner_facet | DE-384 DE-355 DE-BY-UBR DE-20 DE-188 |
physical | 352 S. graph. Darst. |
publishDate | 1962 |
publishDateSearch | 1962 |
publishDateSort | 1962 |
publisher | Chelsea Publ.Comp. |
record_format | marc |
spelling | Hausdorff, Felix 1868-1942 Verfasser (DE-588)118709151 aut Mengenlehre Set theory by Felix Hausdorff 2. ed. New York, N. Y. Chelsea Publ.Comp. 1962 352 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Transl. from the German Ensembles, Théorie des erameau Granulats Teoria Dos Conjuntos larpcal Teoria Dos Grupos larpcal Set theory Mengenlehre (DE-588)4074715-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Mengenlehre (DE-588)4074715-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001882471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hausdorff, Felix 1868-1942 Set theory Ensembles, Théorie des erameau Granulats Teoria Dos Conjuntos larpcal Teoria Dos Grupos larpcal Set theory Mengenlehre (DE-588)4074715-3 gnd |
subject_GND | (DE-588)4074715-3 (DE-588)4151278-9 |
title | Set theory |
title_alt | Mengenlehre |
title_auth | Set theory |
title_exact_search | Set theory |
title_full | Set theory by Felix Hausdorff |
title_fullStr | Set theory by Felix Hausdorff |
title_full_unstemmed | Set theory by Felix Hausdorff |
title_short | Set theory |
title_sort | set theory |
topic | Ensembles, Théorie des erameau Granulats Teoria Dos Conjuntos larpcal Teoria Dos Grupos larpcal Set theory Mengenlehre (DE-588)4074715-3 gnd |
topic_facet | Ensembles, Théorie des Granulats Teoria Dos Conjuntos Teoria Dos Grupos Set theory Mengenlehre Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001882471&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT hausdorfffelix mengenlehre AT hausdorfffelix settheory |