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Catalogue Information
Field name
Details
Dewey Class
512.6
Title
Categorical Perspectives ([EBook] /) / edited by Jürgen Koslowski, Austin Melton.
Added Personal Name
Koslowski, Jürgen
editor.
Melton, Austin
editor.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Birkhäuser Boston : : Imprint: Birkhäuser, , 2001.
Physical Details
XI, 281 p. : online resource.
Series
Trends in mathematics
ISBN
9781461213703
Summary Note
"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.:
Contents note
Categories: A Free Tour -- The Functor that Wouldn’t be -- The Emergence of Functors -- Too Many Functors -- Contributions and Importance of Professor George E. Strecker’s Research -- 10 Rules for Surviving as a Mathematician and Teacher -- Connections and Polarities -- Categorical Closure Operators -- Extensions of Maps from Dense Subspaces -- Characterizations of Subspaces of Important Types of Convergences Spaces in the Realm of Convenient Topology -- The Naturals are Lindelöf iff Ascoli Holds -- Revisiting the Celebrated Thesis of J. de Groot: “Everything is Linear.” -- Finite Ultrametric Spaces and Computer Science -- The Copnumber of a Graph is Bounded by ?3/2 genus (G)? + 3 -- Abelian Groups: Simultaneously Reflective and Coreflective Subcategories versus Modules.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1370-3
Links to Related Works
Subject References:
Algebra
.
Category Theory, Homological Algebra
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Category theory (Mathematics)
.
Complex manifolds
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Homological algebra
.
Manifolds and Cell Complexes (incl. Diff.Topology)
.
Manifolds (Mathematics)
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Mathematics
.
Topology
.
Authors:
Koslowski, Jürgen
.
Melton, Austin
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Corporate Authors:
SpringerLink (Online service)
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Series:
Trends in mathematics
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Classification:
512.6
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