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Cardinal invariants on Boolean algebras:

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Main Author:	Monk, James Donald 1930- (Author)
Format:	Electronic eBook
Language:	English
Published:	Basel [u.a.] Birkhäuser 2014
Edition:	2., rev. ed.
Series:	Progress in mathematics 142
Subjects:	Boole, algèbre de Fonctions (Mathématiques) Nombres cardinaux Algebra, Boolean Cardinal numbers Functions Boolesche Algebra Funktion > Mathematik Kardinalzahl
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Item Description:	Früher u.d.T.: Monk, James D.: Cardinal functions on Boolean algebras
Physical Description:	1 Online-Ressource (VII, 573 S.) graph. Darst.
ISBN:	9783034807296 9783034807302
DOI:	10.1007/978-3-0348-0730-2

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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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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

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