Lectures On Boolean Algebras - Givant Steven; Halmos P.R. | Libro Springer 01/1974 - HOEPLI.it


home libri books ebook dvd e film top ten sconti 0 Carrello


Torna Indietro

givant steven; halmos p.r. - lectures on boolean algebras

Lectures on Boolean Algebras

;




Disponibilità: Normalmente disponibile in 15 giorni


PREZZO
72,98 €
NICEPRICE
62,03 €
SCONTO
15%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con App18 Bonus Cultura e Carta Docenti


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 01/1974
Edizione: Softcover reprint of the original 1st ed. 1974





Sommario

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.




Trama

IN 1959 I lectured on Boolean algebras at the University of Chicago. A mimeographed version of the notes on which the lectures were based circulated for about two years; this volume contains those notes, corrected and revised. Most of the corrections were suggested by Peter Crawley. To judge by his detailed and precise suggestions, he must have read every word, checked every reference, and weighed every argument, and I am lIery grateful to hirn for his help. This is not to say that he is to be held responsible for the imperfec­ tions that remain, and, in particular, I alone am responsible for all expressions of personal opinion and irreverent view­ point. P. R. H. Ann Arbor, Michigan ] anuary, 1963 Contents Section Page 1 1 Boolean rings ............................ . 2 Boolean algebras ......................... . 3 9 3 Fields of sets ............................ . 4 Regular open sets . . . . . . . . . . . . . . . . . . . 12 . . . . . . 5 Elementary relations. . . . . . . . . . . . . . . . . . 17 . . . . . 6 Order. . . . . . . . . . . . . . . . . . . . . . . . . . . 21 . . . . . . . . . 7 Infinite operations. . .. . . . . . . . . . . . . . . . . 25 . . . . . 8 Subalgebras . . . . . . . . . . . . . . . . . . . . .. . . . 31 . . . . . . 9 Homomorphisms . . . . . . . . . . . . . . . . . . . . 35 . . . . . . . 10 Free algebras . . . . . . . . . . . . . . . . . . . . . . 40 . . . . . . . 11 Ideals and filters. . . . . . . . . . . . . . . . . . . . 47 . . . . . . 12 The homomorphism theorem. . . . . . . . . . . . .. . . 52 . . 13 Boolean a-algebras . . . . . . . . . . . . . . . . . . 55 . . . . . . 14 The countable chain condition . . . . . . . . . . . . 61 . . . 15 Measure algebras . . . . . . . . . . . . . . . . . . . 64 . . . . . . . 16 Atoms.. . . . .. . . . . .. .. . . . ... . . . . .. . . ... . . .. 69 17 Boolean spaces . . . . . . . . . . . . . . . . . . . . 72 . . . . . . . 18 The representation theorem. . . . . . . . . . . . . . 77 . . . 19 Duali ty for ideals . . . . . . . . . . . . . . . . . .. . . 81 . . . . . 20 Duality for homomorphisms . . . . . . . . . . . . . . 84 . . . . 21 Completion . . . . . . . . . . . . . . . . . . . . . . . 90 . . . . . . . . 22 Boolean a-spaces . . . . . . . . . . . . . . . . . .. . . 97 . . . . . 23 The representation of a-algebras . . . . . . . . .. . . 100 . 24 Boolean measure spaces . . . . . . . . . . . . . .. . . 104 . . . 25 Incomplete algebras . . . . . . . . . . . . . . . .. . . 109 . . . . . 26 Products of algebras . . . . . . . . . . . . . . . .. . . 115 . . . . 27 Sums of algebras . . . . . . . . . . . . . . . . . .. . . 119 . . . . . 28 Isomorphisms of factors . . . . . . . . . . . . . .. . . 122 . . .







Altre Informazioni

ISBN:

9780387900940

Condizione: Nuovo
Collana: Undergraduate Texts in Mathematics
Dimensioni: 229 x 152 mm Ø 275 gr
Formato: Brossura
Pagine Arabe: 148
Pagine Romane: viii






Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.

X