Hausdorff gaps and limits:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam u.a.
North-Holland
1994
|
| Series: | Studies in logic and the foundations of mathematics
132 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 300 S. |
| ISBN: | 044489490X |
Staff View
MARC
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| 245 | 1 | 0 | |a Hausdorff gaps and limits |c Ryszard Frankiewicz. Pawel Zbierski |
| 264 | 1 | |a Amsterdam u.a. |b North-Holland |c 1994 | |
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Record in the Search Index
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|---|---|
| adam_text | TABLE OF CONTENTS
Notation and terminology ...... xi
Chapter 1 Boolean Algebras
§1 Introduction ....... 1
§2 Formulas . 2
§3 Atoms ........ 5
§4 Complete algebras ...... 6
§5 Homomorphism and filters .... 9
§6 Ultrafilters 15
§7 Extending a homomorphism . . . .18
§8 Chains and antichains ..... 21
Problems 24
Chapter 2 Gaps and Limits
§1 Introduction . . . . . . .31
§2 Dominance ....... 35
§3 Hausdorff Gaps 40
§4 The Parovicenko theorem ..... 43
§5 Types of gaps and limits ..... 48
Problems . 58
Chapter 3 Stone Spaces
§1 The Stone representation ..... 63
§2 Subalgebras and homomorphisms . . . .68
§3 Zero sets ....... 69
§4 The Stone Cech compactification . . . .72
§5 Spaces of uniform ultrafilters . . . .76
§6 Strongly zero dimensional spaces . . . .80
§7 Extremally disconnected spaces . . . .83
Problems . 87
TABLE OF CONTENTS ix
Chapter 4 F Spaces
§1 Extending a function ..... 93
§2 Characterization of countable gaps . . .96
§3 Construction of Parovicenko spaces . . .98
§4 Closed sets in the space w* ... 104
§5 On the Parovicenko theorem . . . 106
§6 On P sets in the space u* 108
§7 Character of points ..... 117
Problems 121
Chapter 5 7r Base Matrix
§1 Base tree 123
§2 Stationary sets ..... 132
§3 c Points 136
Problems ....... 142
Chapter 6 Inhomogeneity
§1 Kunen s points ..... 143
§2 A matrix of independent sets . . . 148
§3 Countable sets in F spaces .... 153
§4 Inhomogeneity of products of compact spaces . 157
Problems ....... 159
Chapter 7 Extending of Continuous Functions
§1 Weak Lindelof property .... 161
§2 A long convergent sequence . . . 167
§3 Strongly discrete sets .... 170
Problems 170
Chapter 8 The Martin Axiom
§1 Continuous images ..... 179
§2 The space /3[u)i] 186
§3 On the Parovicenko theorem . . . 191
§4 Gaps 197
§5 Homomorphisms of C(X) .... 202
Problems 209
Chapter 9 Partitions of Antichains
§1 Partition algebras ..... 209
§2 Complete algebras ..... 218
§3 Partition algebras under MA . . . 221
x TABLE OF CONTENTS
§4 More on partition algebras .... 234
Problems 244
Chapter 10 Small P Sets in uj*
§1 Proper forcing ..... 243
§2 On P filters with the ccc . . . . 256
Problems . 264
Chapter 11 Forcing
§1 Set theory and its models .... 259
§2 Forcing 275
§3 Complete embeddings .... 279
§4 Cardinal numbers ..... 281
§5 Selected models 283
§6 Iterated forcing ..... 289
§7 The Martin Axiom 299
Bibliography ....... 294
Index 297
|
| any_adam_object | 1 |
| author | Frankiewicz, Ryszard Zbierski, Pawel |
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| dewey-sort | 3514.32 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV009559879 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:37:08Z |
| institution | BVB |
| isbn | 044489490X |
| language | English |
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| physical | XIII, 300 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | North-Holland |
| record_format | marc |
| series | Studies in logic and the foundations of mathematics |
| series2 | Studies in logic and the foundations of mathematics |
| spelling | Frankiewicz, Ryszard Verfasser aut Hausdorff gaps and limits Ryszard Frankiewicz. Pawel Zbierski Amsterdam u.a. North-Holland 1994 XIII, 300 S. txt rdacontent n rdamedia nc rdacarrier Studies in logic and the foundations of mathematics 132 Hausdorff-Verfahren (DE-588)4159239-6 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd rswk-swf Hausdorff-Verfahren (DE-588)4159239-6 s DE-604 Stone-Čech-Kompaktifizierung (DE-588)4308423-0 s Boolesche Algebra (DE-588)4146280-4 s DE-188 Zbierski, Pawel Verfasser aut Studies in logic and the foundations of mathematics 132 (DE-604)BV000893472 132 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006316968&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frankiewicz, Ryszard Zbierski, Pawel Hausdorff gaps and limits Studies in logic and the foundations of mathematics Hausdorff-Verfahren (DE-588)4159239-6 gnd Boolesche Algebra (DE-588)4146280-4 gnd Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd |
| subject_GND | (DE-588)4159239-6 (DE-588)4146280-4 (DE-588)4308423-0 |
| title | Hausdorff gaps and limits |
| title_auth | Hausdorff gaps and limits |
| title_exact_search | Hausdorff gaps and limits |
| title_full | Hausdorff gaps and limits Ryszard Frankiewicz. Pawel Zbierski |
| title_fullStr | Hausdorff gaps and limits Ryszard Frankiewicz. Pawel Zbierski |
| title_full_unstemmed | Hausdorff gaps and limits Ryszard Frankiewicz. Pawel Zbierski |
| title_short | Hausdorff gaps and limits |
| title_sort | hausdorff gaps and limits |
| topic | Hausdorff-Verfahren (DE-588)4159239-6 gnd Boolesche Algebra (DE-588)4146280-4 gnd Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd |
| topic_facet | Hausdorff-Verfahren Boolesche Algebra Stone-Čech-Kompaktifizierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006316968&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000893472 |
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