Categorical Aspects Of Topology And Analysis
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Categorical Aspects Of Topology And Analysis
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Author : B. Banaschewski
language : en
Publisher:
Release Date : 2014-01-15
Categorical Aspects Of Topology And Analysis written by B. Banaschewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Categorical Aspects Of Topology And Analysis
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Author : B. Banaschewski
language : en
Publisher: Springer
Release Date : 2006-11-14
Categorical Aspects Of Topology And Analysis written by B. Banaschewski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Categorical Aspects Of Topology And Analysis
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Author :
language : en
Publisher:
Release Date : 1982
Categorical Aspects Of Topology And Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Categorical Methods In Computer Science
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Author : Hartmut Ehrig
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-10-11
Categorical Methods In Computer Science written by Hartmut Ehrig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-11 with Computers categories.
This volume contains selected papers of the International Workshop on "Categorical Methods in Computer Science - with Aspects from Topology" and of the "6th International Data Type Workshop" held in August/September 1988 in Berlin. The 23 papers of this volume are grouped into three parts: Part 1 includes papers on categorical foundations and fundamental concepts from category theory in computer science. Part 2 presents applications of categorical methods to algebraic specification languages and techniques, data types, data bases, programming, and process specifications. Part 3 comprises papers on categorial aspects from topology which mainly concentrate on special adjoint situations like cartesian closeness, Galois connections, reflections, and coreflections which are of growing interest in categorical topology and computer science.
Topology
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Author : Tai-Danae Bradley
language : en
Publisher: MIT Press
Release Date : 2020-08-18
Topology written by Tai-Danae Bradley and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-18 with Mathematics categories.
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Index Analysis
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Author : Robert Lowen
language : en
Publisher: Springer
Release Date : 2015-01-09
Index Analysis written by Robert Lowen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-09 with Mathematics categories.
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
Categorical Topology
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Author : E. Binz
language : en
Publisher:
Release Date : 2014-01-15
Categorical Topology written by E. Binz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Index Analysis
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Author : R. Lowen
language : en
Publisher: Springer
Release Date : 2015-01-06
Index Analysis written by R. Lowen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-06 with Mathematics categories.
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
Categorical Topology And Its Relation To Analysis Algebra And Combinatorics
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Author : Jiří Adámek (ing.)
language : en
Publisher:
Release Date : 1989
Categorical Topology And Its Relation To Analysis Algebra And Combinatorics written by Jiří Adámek (ing.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Algebraic topology categories.
Categorical Perspectives
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Author : Jürgen Koslowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Categorical Perspectives written by Jürgen Koslowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas. Contributors: H.L. Bentley * G. Castellini * R. El Bashir * H. Herrlich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina
