Introduction to Boolean Algebras

Givant Steven Halmos Paul R. Halmos P. R.

ISBN 10: 0387900942 / ISBN 13: 9780387900940

Editore: Springer, 1974

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Codice articolo 183883749

Dati bibliografici

• Titolo: Introduction to Boolean Algebras
• Editore: Springer
• Data di pubblicazione: 1974
• Lingua: Inglese
• ISBN 10: 0387900942
• ISBN 13: 9780387900940
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

Ann Arbor, Michigan ] anuary, 1963 Contents Section Page 1 1 Boolean rings ............................ 4 Regular open sets . 10 Free algebras . 13 Boolean a-algebras . 15 Measure algebras . 69 17 Boolean spaces . 22 Boolean a-spaces . 24 Boolean measure spaces . 25 Incomplete algebras . 26 Products of algebras . 27 Sums of algebras .

Contenuti

1 Boolean rings.- 2 Boolean algebras.- 3 Fields of sets.- 4 Regular open sets.- 5 Elementary relations.- 6 Order.- 7 Infinite operations.- 8 Subalgebras.- 9 Homomorphisms.- 10 Free algebras.- 11 Ideals and filters.- 12 The homomorphism theorem.- 13 Boolean ?-algebras.- 14 The countable chain condition.- 15 Measure algebras.- 16 Atoms.- 17 Boolean spaces.- 18 The representation theorem.- 19 Duality for ideals.- 20 Duality for homomorphisms.- 21 Completion.- 22 Boolean ?-spaces.- 23 The representation of ?-algebras.- 24 Boolean measure spaces.- 25 Incomplete algebras.- 26 Products of algebras.- 27 Sums of algebras.- 28 Isomorphisms of factors.- 29 Isomorphisms of countable factors.- 30 Retracts.- 31 Projective algebras.- 32 Injective algebras.- Epilogue.