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" Monoidal topology : "
edited by Dirk Hofmann, Universidade de Aveiro, Portugal ; Gavin J. Seal, Swiss Federal Institute of Technology ; Walter Tholen, York University, Toronto
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BL
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| Record Number
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640073
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| Doc. No
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dltt
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| Title & Author
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Monoidal topology : : a categorical approach to order, metric and topology /\ edited by Dirk Hofmann, Universidade de Aveiro, Portugal ; Gavin J. Seal, Swiss Federal Institute of Technology ; Walter Tholen, York University, Toronto
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| Series Statement
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Encyclopedia of mathematics and its applications ;; 153
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| Page. NO
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xvii, 503 pages ;; 24 cm
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| ISBN
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9781107063945 (hardback)
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: 1107063949 (hardback)
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| Bibliographies/Indexes
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Includes bibliographical references (pages 467-479) and index
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| Contents
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Introduction / Robert Lowen and Walter Tholen -- Monoidal structures / Gavin J. Seal and Walter Tholen -- Lax algebras / Dirk Hofmann, Gavin J. Seal, and Walter Tholen -- Kleisli monoids / Dirk Hofmann, Robert Lowen, Rory Lucyshyn-Wright, and Gavin J. Seal -- Lax algebras as spaces / Maria Manuel Clementino, Eva Colebunders, and Walter Tholen
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| Abstract
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"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"--
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Topological semigroups
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Group theory
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| Dewey Classification
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514/.32
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| LC Classification
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QA387.M65 2014
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| Added Entry
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Hofmann, Dirk,1970-
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Seal, Gavin J
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Tholen, W., (Walter),1947-
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