Isbn: 9781107063945 - monoidal topology: a categorical approach to order, metric, and topology (encyclopedia of mathematics and its applications, 153, band 153) (5 Ergebnisse)

hardcover. Zustand: Very Good. Cover and edges may have some wear.

Zustand: New. In English.

Hardcover. Zustand: Brand New. 520 pages. 9.50x6.50x1.25 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize 'spaces' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small categories enriched over the extended real half-line. Hence, equipped with a quantale V (replacing the reals) and a monad T (replacing the ultrafilter monad) laxly extended from set maps to V-valued relations, the book develops a categorical theory of (T,V)-algebras that is inspired simultaneously by its metric and topological roots. The book highlights in particular the distinguished role of equationally defined structures within the given lax-algebraic context and presents numerous new results ranging from topology and approach theory to domain theory. All the necessary pre-requisites in order and category theory are presented in the book.…

Zustand: New. Based on lax-algebraic and categorical methods, Monoidal Topology provides a unified theory for metric and topological structures with far-reaching applications. Editor(s): Hofmann, Dirk; Seal, Gavin J.; Tholen, Walter. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 518 pages, 225 exercises. BIC Classification: PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 165 x 239 x 34. Weight in Grams: 938. . 2014. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.…