Ebook: Categorical Perspectives
- Tags: Category Theory Homological Algebra, Algebra, Topology, Manifolds and Cell Complexes (incl. Diff.Topology)
- Series: Trends in Mathematics
- Year: 2001
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
"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
"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. Preu? * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina
"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. Preu? * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina
Content:
Front Matter....Pages i-xi
Categories: A Free Tour....Pages 1-27
The Functor that Wouldn’t be....Pages 29-35
The Emergence of Functors....Pages 37-45
Too Many Functors....Pages 47-62
Contributions and Importance of Professor George E. Strecker’s Research....Pages 63-90
10 Rules for Surviving as a Mathematician and Teacher....Pages 91-94
Connections and Polarities....Pages 95-107
Categorical Closure Operators....Pages 109-150
Extensions of Maps from Dense Subspaces....Pages 151-176
Characterizations of Subspaces of Important Types of Convergence Spaces in the Realm of Convenient Topology....Pages 177-190
The Naturals are Lindel?f iff Ascoli Holds....Pages 191-196
Revisiting the Celebrated Thesis of J. de Groot: “Everything is Linear.”....Pages 197-217
Finite Ultrametric Spaces and Computer Science....Pages 219-241
The Copnumber of a Graph is Bounded by [3/2 genus (G)] + 3....Pages 243-263
Abelian Groups: Simultaneously Reflective and Coreflective Subcategories versus Modules....Pages 265-281
"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. Preu? * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina
Content:
Front Matter....Pages i-xi
Categories: A Free Tour....Pages 1-27
The Functor that Wouldn’t be....Pages 29-35
The Emergence of Functors....Pages 37-45
Too Many Functors....Pages 47-62
Contributions and Importance of Professor George E. Strecker’s Research....Pages 63-90
10 Rules for Surviving as a Mathematician and Teacher....Pages 91-94
Connections and Polarities....Pages 95-107
Categorical Closure Operators....Pages 109-150
Extensions of Maps from Dense Subspaces....Pages 151-176
Characterizations of Subspaces of Important Types of Convergence Spaces in the Realm of Convenient Topology....Pages 177-190
The Naturals are Lindel?f iff Ascoli Holds....Pages 191-196
Revisiting the Celebrated Thesis of J. de Groot: “Everything is Linear.”....Pages 197-217
Finite Ultrametric Spaces and Computer Science....Pages 219-241
The Copnumber of a Graph is Bounded by [3/2 genus (G)] + 3....Pages 243-263
Abelian Groups: Simultaneously Reflective and Coreflective Subcategories versus Modules....Pages 265-281
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