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010 a| 2022023084;

020 a| 9781470452735q| (paperback);

020 z| 9781470470975q| (pdf);

035 a| (WaSeSS)ssj0002691055;

042 a| pcc;

049 a| EREEa| NEHH;

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082 00 a| 511.3/222| 23/eng20220913;

084 a| 03E15a| 03E60a| 03E45a| 03E10a| 03E472| msc;

100 1 a| Andretta, Alessandro,d| 1960-?| UNAUTHORIZED;

245 10 a| Souslin quasi-orders and bi-embeddability of uncountable structuresh| [electronic resource] /c| Alessandro Andretta, Luca Motto Ros.;

260 a| Providence, RI :b| American Mathematical Society,c| [2022];

300 a| vii, 189 pages ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| volume 277, number 1365;

504 a| Includes bibliographical references.;

505 0 a| Preliminaries and notation -- The generalized Cantor space -- Generalized Borel sets -- Generalized Borel functions -- The generalized Baire space and Baire category -- Standard Borel k-spaces, k-analytic quasi-orders, and spaces of codes -- Infinitary logics and models -- k-Souslin sets -- The main construction -- Completeness -- Invariant universality -- An alternative approach -- Definable cardinality and reducibility -- Some applications -- Further completeness results.;

506 a| Available only to authorized users.;

520 a| "We provide analogues of the results from Friedman and Motto Ros (2011) and Camerlo, Marcone, and Motto Ros (2013) (which correspond to the case) for arbitrary -Souslin quasi-orders on any Polish space, for an infinite cardinal smaller than the cardinality of R. These generalizations yield a variety of results concerning the complexity of the embeddability relation between graphs or lattices of size , the isometric embeddability relation between complete metric spaces of density character , and the linear isometric embeddability relation between (real or complex) Banach spaces of density "--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Set theory.=| ^A26682;

650 0 a| Topological spaces.=| ^A38114;

650 0 a| Embeddings (Mathematics)=| ^A123832;

650 7 a| Mathematical logic and foundations -- Set theory -- Descriptive set theory.2| msc;

650 7 a| Mathematical logic and foundations -- Set theory -- Determinacy principles.2| msc;

650 7 a| Mathematical logic and foundations -- Set theory -- Inner models, including constructibility, ordinal definability, and core models.2| msc;

650 7 a| Mathematical logic and foundations -- Set theory -- Ordinal and cardinal numbers.2| msc;

650 7 a| Mathematical logic and foundations -- Set theory -- Other notions of set-theoretic definability.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Motto Ros, Luca,d| 1979-?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=29731902;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6516452-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/14/2025x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6516452-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

Souslin quasi-orders and bi-embeddability of uncountable structures / Alessandro Andretta, Luca Motto Ros.

Author/creator	Andretta, Alessandro, 1960-
Other author	Motto Ros, Luca, 1979-
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, [2022]
Description	vii, 189 pages ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Set theory. Topological spaces. Embeddings (Mathematics)

Series	Memoirs of the American Mathematical Society, 0065-9266 ; volume 277, number 1365
Contents	Preliminaries and notation -- The generalized Cantor space -- Generalized Borel sets -- Generalized Borel functions -- The generalized Baire space and Baire category -- Standard Borel k-spaces, k-analytic quasi-orders, and spaces of codes -- Infinitary logics and models -- k-Souslin sets -- The main construction -- Completeness -- Invariant universality -- An alternative approach -- Definable cardinality and reducibility -- Some applications -- Further completeness results.
Abstract	"We provide analogues of the results from Friedman and Motto Ros (2011) and Camerlo, Marcone, and Motto Ros (2013) (which correspond to the case) for arbitrary -Souslin quasi-orders on any Polish space, for an infinite cardinal smaller than the cardinality of R. These generalizations yield a variety of results concerning the complexity of the embeddability relation between graphs or lattices of size , the isometric embeddability relation between complete metric spaces of density character , and the linear isometric embeddability relation between (real or complex) Banach spaces of density "-- Provided by publisher.
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022023084
ISBN	9781470452735 (paperback)
ISBN	(pdf)

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