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000943710 019__ $$a1195446728$$a1195458494$$a1197837714$$a1198396197$$a1198729675$$a1200577897
000943710 020__ $$a9783030513351$$q(electronic book)
000943710 020__ $$a3030513351$$q(electronic book)
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000943710 0247_ $$a10.1007/978-3-030-51335-1$$2doi
000943710 0247_ $$a10.1007/978-3-030-51
000943710 035__ $$aSP(OCoLC)on1193332693
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000943710 08204 $$a514/.24$$223
000943710 1001_ $$aBunke, Ulrich,$$d1963-
000943710 24510 $$aHomotopy theory with Bornological coarse spaces /$$cUlrich Bunke, Alexander Engel.
000943710 260__ $$aCham :$$bSpringer,$$c2020.
000943710 300__ $$a1 online resource
000943710 336__ $$atext$$btxt$$2rdacontent
000943710 337__ $$acomputer$$bc$$2rdamedia
000943710 338__ $$aonline resource$$bcr$$2rdacarrier
000943710 347__ $$atext file$$bPDF$$2rda
000943710 4901_ $$aLecture notes in mathematics ;$$vv. 2269
000943710 504__ $$aIncludes bibliographical references and index.
000943710 506__ $$aAccess limited to authorized users.
000943710 520__ $$aProviding a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal coarse homology theory. Hybrid structures are introduced as a tool to connect large-scale with small-scale geometry, and are then employed to describe the coarse motives of bornological coarse spaces of finite asymptotic dimension. The remainder of the book is devoted to the construction of examples of coarse homology theories, including an account of the coarsification of locally finite homology theories and of coarse K-theory. Thereby it develops background material about locally finite homology theories and C*-categories. The book is intended for advanced graduate students and researchers who want to learn about the homotopy-theoretical aspects of large scale geometry via the theory of infinity categories.
000943710 650_0 $$aHomotopy theory.
000943710 650_0 $$aBornological spaces.
000943710 7001_ $$aEngel, Alexander.
000943710 77608 $$iPrint version: $$z3030513343$$z9783030513344$$w(OCoLC)1155591917
000943710 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2269.
000943710 852__ $$bebk
000943710 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=https://dx.doi.org/10.1007/978-3-030-51335-1$$zOnline Access
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000943710 982__ $$aEbook
000943710 983__ $$aOnline
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