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Boolean algebras:

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Bibliographic Details
Main Author:	Sikorski, Roman (Author)
Format:	Book
Language:	English
Published:	Berlin u.a. Springer 1969
Edition:	3. ed.
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge 25
Subjects:	Boole, Algèbre de Algebra, Boolean Boolesche Algebra Boolescher Verband
Online Access:	Inhaltsverzeichnis
Physical Description:	X, 237 S.

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MARC


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Record in the Search Index

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adam_text	Contents Terminology and notation 1 Chapter I. Finite joins and meets § 1. Definition of Boolean algebras 3 § 2. Some consequences of the axioms 6 § 3. Ideals and filters 11 § 4. Subalgebras 13 § 5. Homomorphisms, isomorphisms 15 § 6. Maximal ideals and filters 17 § 7. Reduced and perfect fields of sets 20 § 8. A fundamental representation theorem 23 § 9. Atoms 27 § 10. Quotient algebras 29 §11. Induced homomorphisms between fields of sets 32 § 12. Theorems on extending to homomorphisms 35 § 13. Independent subalgebras. Products 39 § 14. Free Boolean algebras 42 § 15. Induced homomorphisms between quotient algebras 45 § 16. Direct unions 50 § 17. Connection with algebraic rings 51 Chapter II. Infinite joins and meets § 18. Definition 54 § 19. Algebraic properties of infinite joins and meets, (m, tl) distributivity . 59 § 20. m complete Boolean algebras 65 §21. m ideals and m filters. Quotient algebras 74 § 22. m homomorphisms. The interpretation in Stone spaces 81 § 23. m subalgebras 91 § 24. Representations by m fields of sets 97 § 25. Complete Boolean algebras 105 §26. The field of all subsets of a set 110 §27. The field of all Borel subsets of a metric space 114 §28. Representation of quotient algebras as fields of sets 115 § 29. A fundamental representation theorem for Boolean j algebras. m representability 117 § 30. Weak tn distributivity 127 §31. Free Boolean tn algebras 131 § 32. Homomorphisms induced by point mappings 136 § 33, Theorems on extension of homomorphisms 141 § 34. Theorems on extending to homomorphisms 144 § 35. Completions and m completkms 152 § 36. Extensions of Boolean algebras 165 § 37. m independent subalgebras. The field tn product 172 § 38. Boolean (ttl, n) products 175 X Contents Appendix § 39. Relation to other algebras 191 § 40. Applications to mathematical logic. Classical calculi 194 § 41. Topology in Boolean algebras. Applications to non classical logic . . 198 § 42. Applications to measure theory 201 § 43. Measurable functions and real homomorphisms 204 § 44. Measurable functions. Reduction to continuous functions 206 § 45. Applications to functional analysis 207 § 46. Applications to foundations of the theory of probability 208 § 47. Problems of effectivity 210 Bibliography 212 List of symbols 231 Author Index 232 Subject Index 235
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indexdate	2024-07-09T15:37:29Z
institution	BVB
language	English
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publishDate	1969
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series2	Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge
spelling	Sikorski, Roman Verfasser aut Boolean algebras Roman Sikorski 3. ed. Berlin u.a. Springer 1969 X, 237 S. txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge 25 Boole, Algèbre de Algebra, Boolean Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Boolescher Verband (DE-588)4146289-0 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 s DE-604 Boolescher Verband (DE-588)4146289-0 s Neue Folge Ergebnisse der Mathematik und ihrer Grenzgebiete 25 (DE-604)BV005871160 25 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001260624&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sikorski, Roman Boolean algebras Boole, Algèbre de Algebra, Boolean Boolesche Algebra (DE-588)4146280-4 gnd Boolescher Verband (DE-588)4146289-0 gnd
subject_GND	(DE-588)4146280-4 (DE-588)4146289-0
title	Boolean algebras
title_auth	Boolean algebras
title_exact_search	Boolean algebras
title_full	Boolean algebras Roman Sikorski
title_fullStr	Boolean algebras Roman Sikorski
title_full_unstemmed	Boolean algebras Roman Sikorski
title_short	Boolean algebras
title_sort	boolean algebras
topic	Boole, Algèbre de Algebra, Boolean Boolesche Algebra (DE-588)4146280-4 gnd Boolescher Verband (DE-588)4146289-0 gnd
topic_facet	Boole, Algèbre de Algebra, Boolean Boolesche Algebra Boolescher Verband
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volume_link	(DE-604)BV005871160
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