Descriptive Set Theory (Mathematical Surveys and Monographs)

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9780821848135: Descriptive Set Theory (Mathematical Surveys and Monographs)

Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ``effective'' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory.

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1.

Moschovakis, Yiannis N.
Editore: American Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Carothers and Carothers
(Albany, CA, U.S.A.)
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. 2nd Edition. Series: Mathematical surveys and monographs ; 155. New in publisher's shrinkwrap. Additional postage will be required for shipment outside the United States. 1080 grams. Codice libro della libreria 002113

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2.

Yiannis N. Moschovakis
Editore: American Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it.This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern "effective" theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics.The book includes all the necessary background from (advanced) set theory, logic and recursion theory. Codice libro della libreria 1006230069

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3.

Yiannis N. Moschovakis
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book. Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern effective theory and the consequences of strong (especially determinacy) hypotheses.The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory. Codice libro della libreria AAN9780821848135

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4.

Yiannis N. Moschovakis
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
Nuovi Rilegato Quantità: 1
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The Book Depository US
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book. Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern effective theory and the consequences of strong (especially determinacy) hypotheses.The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory. Codice libro della libreria AAN9780821848135

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5.

Yiannis N. Moschovakis
Editore: American Mathematical Society
ISBN 10: 0821848135 ISBN 13: 9780821848135
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THE SAINT BOOKSTORE
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Descriptive Set Theory (2nd Revised edition), Yiannis N. Moschovakis, Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern 'effective' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory. Codice libro della libreria B9780821848135

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Yiannis N. Moschovakis
Editore: American Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. 2. Codice libro della libreria DADAX0821848135

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Yiannis N. Moschovakis
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218481350000000

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Yiannis N. Moschovakis
Editore: American Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Irish Booksellers
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821848135

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9.

Moschovakis, Yiannis N.
Editore: Amer Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Revaluation Books
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Descrizione libro Amer Mathematical Society, 2009. Hardcover. Condizione libro: Brand New. 2nd edition. 502 pages. 10.50x7.25x1.25 inches. In Stock. Codice libro della libreria __0821848135

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MOSCHOVAKIS
Editore: American Mathematical Society (2009)
ISBN 10: 0821848135 ISBN 13: 9780821848135
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Herb Tandree Philosophy Books
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Descrizione libro American Mathematical Society, 2009. Hardback. Condizione libro: NEW. 9780821848135 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0630731

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