Monoidal topology : a categorical approach to order, metric and topology /
"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 ultrafil...
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Group Author: | ; ; |
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Published: |
Cambridge University Press,
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Publisher Address: | New York : |
Publication Dates: | 2014. |
Literature type: | Book |
Language: | English |
Series: |
Encyclopedia of mathematics and its applications ;
153 |
Subjects: | |
Summary: |
"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"-- |
Carrier Form: | xvii, 503 pages ; 24 cm. |
Bibliography: | Includes bibliographical references (pages 467-479) and index. |
ISBN: |
9781107063945 (hardback) : 1107063949 (hardback) |
Index Number: | QA387 |
CLC: | O189 |
Call Number: | O189/M751 |
Contents: | 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. |