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008			150903s2009 xxu| o |||| 0|eng d
020			_a9780387684369 _99780387684369
024	7		_a10.1007/9780387684369 _2doi
035			_avtls000331867
039		9	_a201509030215 _bVLOAD _c201404121942 _dVLOAD _c201404091709 _dVLOAD _y201402041014 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aHalmos, Paul. _eautor _9304691
245	1	0	_aIntroduction to Boolean Algebras / _cby Paul Halmos, Steven Givant.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_axiv, 574 páginas 10 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUndergraduate Texts in Mathematics, _x0172-6056
500			_aSpringer eBooks
505	0		_aBoolean Rings -- Boolean Algebras -- Boolean Algebras Versus Rings -- The Principle of Duality -- Fields of Sets -- Elementary Relations -- Order -- Infinite Operations -- Topology -- Regular Open Sets -- Subalgebras -- Homomorphisms -- Extensions of Homomorphisms -- Atoms -- Finite Boolean Algebras -- Atomless Boolean Algebras -- Congruences and Quotients -- Ideals and Filters -- Lattices of Ideals -- Maximal Ideals -- Homomorphism and Isomorphism Theorems -- The Representation Theorem -- Canonical Extensions -- Complete Homomorphisms and Complete Ideals -- Completions -- Products of Algebras -- Isomorphisms of Factors -- Free Algebras -- Boolean s-algebras -- The Countable Chain Condition -- Measure Algebras -- Boolean Spaces -- Continuous Functions -- Boolean Algebras and Boolean Spaces -- Duality for Ideals -- Duality for Homomorphisms -- Duality for Subalgebras -- Duality for Completeness -- Boolean s-spaces -- The Representation of s-algebras -- Boolean Measure Spaces -- Incomplete Algebras -- Duality for Products -- Sums of Algebras -- Isomorphisms of Countable Factors.
520			_aIn a bold and refreshingly informal style, this exciting text steers a middle course between elementary texts emphasizing connections with philosophy, logic, and electronic circuit design, and profound treatises aimed at advanced graduate students and professional mathematicians. It is written for readers who have studied at least two years of college-level mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebra --- and in particular to the important interconnections with topology --- without assuming a background in algebra, topology, and set theory. The parts of those subjects that are needed to understand the material are developed within the text itself. Highlights of the book include the normal form theorem; the homomorphism extension theorem; the isomorphism theorem for countable atomless Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski’s isomorphism of factors theorem for countably complete Boolean algebras, and Hanf’s related counterexamples; and an extensive treatment of the algebraic-topological duality, including the duality between ideals and open sets, homomorphisms and continuous functions, subalgebras and quotient spaces, and direct products and Stone-Cech compactifications. A special feature of the book is the large number of exercises of varying levels of difficulty, from routine problems that help readers understand the basic definitions and theorems, to intermediate problems that extend or enrich material developed in the text, to harder problems that explore important ideas either not treated in the text, or that go substantially beyond its treatment. Hints for the solutions to the harder problems are given in an appendix. A detailed solutions manual for all exercises is available for instructors who adopt the text for a course.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aGivant, Steven. _eautor _9304692
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387402932
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-68436-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280034 _d280034