Cardinal invariants on Boolean algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2014
|
| Ausgabe: | 2., rev. ed. |
| Schriftenreihe: | Progress in mathematics
142 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | Früher u.d.T.: Monk, James D.: Cardinal functions on Boolean algebras |
| Beschreibung: | 1 Online-Ressource (VII, 573 S.) graph. Darst. |
| ISBN: | 9783034807296 9783034807302 |
| DOI: | 10.1007/978-3-0348-0730-2 |
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Datensatz im Suchindex
| _version_ | 1804152037987844096 |
|---|---|
| adam_text | CARDINAL INVARIANTS ON BOOLEAN ALGEBRAS
/ MONK, J. DONALD
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
1. SPECIAL OPERATIONS ON BOOLEAN ALGEBRAS
2. SPECIAL CLASSES OF BOOLEAN ALGEBRAS
3. CELLULARITY
4. DEPTH
5. TOPOLOGICAL DENSITY
6. PI-WEIGHT
7. LENGTH
8. IRREDUNDANCE
9. CARDINALITY
10. INDEPENDENCE
11. PI-CHARACTER
12. TIGHTNESS
13. SPREAD
14. CHARACTER
15. HEREDITARY LINDELOEF DEGREE
16. HEREDITARY DENSITY
17. INCOMPARABILITY
18. HEREDITARY COFINALITY
19. NUMBER OF ULTRAFILTERS
20. NUMBER OF AUTOMORPHISMS
21. NUMBER OF ENDOMORPHISMS
22. NUMBER OF IDEALS
23. NUMBER OF SUBALGEBRAS
24. OTHER CARDINAL FUNCTIONS
25. DIAGRAMS
26. EXAMPLES
27. PROBLEMS
REFERENCES
SYMBOL INDEX
SUBJECT INDEX
NAME INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CARDINAL INVARIANTS ON BOOLEAN ALGEBRAS
/ MONK, J. DONALD
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK IS CONCERNED WITH CARDINAL NUMBER VALUED FUNCTIONS DEFINED FOR
ANY BOOLEAN ALGEBRA. EXAMPLES OF SUCH FUNCTIONS ARE INDEPENDENCE, WHICH
ASSIGNS TO EACH BOOLEAN ALGEBRA THE SUPREMUM OF THE CARDINALITIES OF ITS
FREE SUBALGEBRAS, AND CELLULARITY, WHICH GIVES THE SUPREMUM OF
CARDINALITIES OF SETS OF PAIRWISE DISJOINT ELEMENTS. TWENTY-ONE SUCH
FUNCTIONS ARE STUDIED IN DETAIL, AND MANY MORE IN PASSING. THE QUESTIONS
CONSIDERED ARE THE BEHAVIOUR OF THESE FUNCTIONS UNDER ALGEBRAIC
OPERATIONS SUCH AS PRODUCTS, FREE PRODUCTS, ULTRAPRODUCTS, AND THEIR
RELATIONSHIPS TO ONE ANOTHER. ASSUMING FAMILIARITY WITH ONLY THE BASICS
OF BOOLEAN ALGEBRAS AND SET THEORY, THROUGH SIMPLE INFINITE
COMBINATORICS AND FORCING, THE BOOK REVIEWS CURRENT KNOWLEDGE ABOUT
THESE FUNCTIONS, GIVING COMPLETE PROOFS FOR MOST FACTS. A SPECIAL
FEATURE OF THE BOOK IS THE ATTENTION GIVEN TO OPEN PROBLEMS, OF WHICH
185 ARE FORMULATED. BASED ON CARDINAL FUNCTIONS ON BOOLEAN ALGEBRAS
(1990) AND CARDINAL INVARIANTS ON BOOLEAN ALGEBRAS (1996) BY THE SAME
AUTHOR, THE PRESENT WORK IS MUCH LARGER THAN EITHER OF THESE. IT
CONTAINS SOLUTIONS TO MANY OF THE OPEN PROBLEMS OF THE EARLIER VOLUMES.
AMONG THE NEW TOPICS ARE CONTINUUM CARDINALS ON BOOLEAN ALGEBRAS, WITH A
LENGTHY TREATMENT OF THE REAPING NUMBER. DIAGRAMS AT THE END OF THE BOOK
SUMMARIZE THE RELATIONSHIPS BETWEEN THE FUNCTIONS FOR MANY IMPORTANT
CLASSES OF BOOLEAN ALGEBRAS, INCLUDING INTERVAL ALGEBRAS, TREE ALGEBRAS
AND SUPERATOMIC ALGEBRAS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| doi_str_mv | 10.1007/978-3-0348-0730-2 |
| edition | 2., rev. ed. |
| format | Electronic eBook |
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| institution | BVB |
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| language | English |
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| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Monk, James Donald 1930- Verfasser (DE-588)172262593 aut Cardinal invariants on Boolean algebras J. Donald Monk 2., rev. ed. Basel [u.a.] Birkhäuser 2014 1 Online-Ressource (VII, 573 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Progress in mathematics 142 Früher u.d.T.: Monk, James D.: Cardinal functions on Boolean algebras Boole, algèbre de ram Fonctions (Mathématiques) ram Nombres cardinaux ram Algebra, Boolean Cardinal numbers Functions Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Kardinalzahl (DE-588)4163318-0 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 s Funktion Mathematik (DE-588)4071510-3 s Kardinalzahl (DE-588)4163318-0 s DE-604 Progress in mathematics 142 (DE-604)BV035421267 142 https://doi.org/10.1007/978-3-0348-0730-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190751&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190751&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Monk, James Donald 1930- Cardinal invariants on Boolean algebras Progress in mathematics Boole, algèbre de ram Fonctions (Mathématiques) ram Nombres cardinaux ram Algebra, Boolean Cardinal numbers Functions Boolesche Algebra (DE-588)4146280-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Kardinalzahl (DE-588)4163318-0 gnd |
| subject_GND | (DE-588)4146280-4 (DE-588)4071510-3 (DE-588)4163318-0 |
| title | Cardinal invariants on Boolean algebras |
| title_auth | Cardinal invariants on Boolean algebras |
| title_exact_search | Cardinal invariants on Boolean algebras |
| title_full | Cardinal invariants on Boolean algebras J. Donald Monk |
| title_fullStr | Cardinal invariants on Boolean algebras J. Donald Monk |
| title_full_unstemmed | Cardinal invariants on Boolean algebras J. Donald Monk |
| title_short | Cardinal invariants on Boolean algebras |
| title_sort | cardinal invariants on boolean algebras |
| topic | Boole, algèbre de ram Fonctions (Mathématiques) ram Nombres cardinaux ram Algebra, Boolean Cardinal numbers Functions Boolesche Algebra (DE-588)4146280-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Kardinalzahl (DE-588)4163318-0 gnd |
| topic_facet | Boole, algèbre de Fonctions (Mathématiques) Nombres cardinaux Algebra, Boolean Cardinal numbers Functions Boolesche Algebra Funktion Mathematik Kardinalzahl |
| url | https://doi.org/10.1007/978-3-0348-0730-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190751&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027190751&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421267 |
| work_keys_str_mv | AT monkjamesdonald cardinalinvariantsonbooleanalgebras |