Nearly projective Boolean algebras:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Lecture notes in mathematics
1596 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 202 S. graph. Darst. |
| ISBN: | 354058787X |
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MARC
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| 100 | 1 | |a Heindorf, Lutz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nearly projective Boolean algebras |c Lutz Heindorf ; Leonid B. Shapiro |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a X, 202 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1596 | |
| 650 | 4 | |a Boole, Algèbre de | |
| 650 | 7 | |a Boole, Algèbre de |2 ram | |
| 650 | 7 | |a Booleaanse algebra |2 gtt | |
| 650 | 4 | |a Algebra, Boolean | |
| 650 | 0 | 7 | |a Projektive Abbildung |0 (DE-588)4175880-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Boolesche Algebra |0 (DE-588)4146280-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Boolesche Algebra |0 (DE-588)4146280-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Boolesche Algebra |0 (DE-588)4146280-4 |D s |
| 689 | 1 | 1 | |a Projektive Abbildung |0 (DE-588)4175880-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Shapiro, Leonid B. |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1596 |w (DE-604)BV000676446 |9 1596 | |
| 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=006574294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805082780308078592 |
|---|---|
| adam_text |
Contents
Introduction 1
Overview 3
Prerequisites and notation 8
1 Setting the stage 11
1.1 Clubs, skeletons and filtrations 11
1.2 Three types of embeddings 14
1.3 Projective Boolean algebras 22
1.4 Free extensions 25
1.5 Projective embeddings 31
2 re filtered Boolean algebras 37
2.1 rc filtrations 37
2.2 The Freese/Nation property 40
2.3 Subalgebras 44
2.4 Homomorphic images 47
2.5 Products 51
2.6 First results about cardinal functions 53
2.7 Computation of cardinal functions 56
2.8 The free algebra on Ni generators 60
2.9 /c metrization 64
2.10 Answers to some questions of Scepin 66
3 Functors 69
3.1 Generalities 69
3.2 Superextensions 72
3.3 Exponentials 78
3.4 Symmetric powers 90
4 (T filtered Boolean algebras 97
4.1 Commuting subalgebras 97
4.2 The weak Freese/Nation property 100
4.3 The strong Freese/Nation property 106
X CONTENTS
5 Weakly projective algebras 111
5.1 Completions and co completeness Ill
5.2 Cohen algebras 115
5.3 Characterizations of weak projectivity 123
5.4 Adequateness and closedness properties 134
5.5 Regularly filtered algebras 140
6 The twisted embedding 147
6.1 The basic square 147
6.2 Twisted embeddings 151
6.3 The non weakly projective example 159
6.4 On the number of rc filtered Boolean algebras 160
A Set theoretic aspects 165
A.I Elementary substructures o{Tix 165
A.2 Characterizations 176
A.3 Answers to some other questions of Scepin 183
A.4 N2 projectively filtered Boolean algebras 186
A.5 Forcing projectivity 192
. References 195
Index 200 |
| any_adam_object | 1 |
| author | Heindorf, Lutz Shapiro, Leonid B. |
| author_facet | Heindorf, Lutz Shapiro, Leonid B. |
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| dewey-full | 510 511.3/24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 511 - General principles of mathematics |
| dewey-raw | 510 511.3/24 |
| dewey-search | 510 511.3/24 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| isbn | 354058787X |
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| spelling | Heindorf, Lutz Verfasser aut Nearly projective Boolean algebras Lutz Heindorf ; Leonid B. Shapiro Berlin u.a. Springer 1994 X, 202 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1596 Boole, Algèbre de Boole, Algèbre de ram Booleaanse algebra gtt Algebra, Boolean Projektive Abbildung (DE-588)4175880-8 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 s DE-604 Projektive Abbildung (DE-588)4175880-8 s Shapiro, Leonid B. Verfasser aut Lecture notes in mathematics 1596 (DE-604)BV000676446 1596 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006574294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heindorf, Lutz Shapiro, Leonid B. Nearly projective Boolean algebras Lecture notes in mathematics Boole, Algèbre de Boole, Algèbre de ram Booleaanse algebra gtt Algebra, Boolean Projektive Abbildung (DE-588)4175880-8 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| subject_GND | (DE-588)4175880-8 (DE-588)4146280-4 |
| title | Nearly projective Boolean algebras |
| title_auth | Nearly projective Boolean algebras |
| title_exact_search | Nearly projective Boolean algebras |
| title_full | Nearly projective Boolean algebras Lutz Heindorf ; Leonid B. Shapiro |
| title_fullStr | Nearly projective Boolean algebras Lutz Heindorf ; Leonid B. Shapiro |
| title_full_unstemmed | Nearly projective Boolean algebras Lutz Heindorf ; Leonid B. Shapiro |
| title_short | Nearly projective Boolean algebras |
| title_sort | nearly projective boolean algebras |
| topic | Boole, Algèbre de Boole, Algèbre de ram Booleaanse algebra gtt Algebra, Boolean Projektive Abbildung (DE-588)4175880-8 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| topic_facet | Boole, Algèbre de Booleaanse algebra Algebra, Boolean Projektive Abbildung Boolesche Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006574294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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