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Categorical Structure Of Closure Operators
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Categorical Structure Of Closure Operators - nouveau livre

ISBN: 9789048146314

ID: 17116504

Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re- search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for. Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re- search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex- amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni- versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions. We also needed to refrain from studying topological concepts, such as compactness, in the setting of an arbitrary closure-equipped category, although this topic appears prominently in the published literature involving closure operators. Books, Science and Geography~~Mathematics~~Mathematical Foundations, Categorical Structure Of Closure Operators~~Book~~9789048146314~~Dikran N. Dikranjan, Walter Tholen, , , , , , , , , ,

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Categorical Structure of Closure Operators (Paperback) - Dikran N. Dikranjan, Walter Tholen
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Dikran N. Dikranjan, Walter Tholen:
Categorical Structure of Closure Operators (Paperback) - Livres de poche

2010, ISBN: 9048146313

ID: 14251968841

[EAN: 9789048146314], Neubuch, [PU: Springer, Netherlands], Language: English . Brand New Book ***** Print on Demand *****.Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re- search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex- amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni- versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions. We also needed to refrain from studying topological concepts, such as compactness, in the setting of an arbitrary closure-equipped category, although this topic appears prominently in the published literature involving closure operators.

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Categorical Structure of Closure Operators With Applications to Topology Algebra and Discrete Mathematics - D. Dikranjan Walter Tholen
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D. Dikranjan Walter Tholen:
Categorical Structure of Closure Operators With Applications to Topology Algebra and Discrete Mathematics - nouveau livre

ISBN: 9789048146314

ID: 9789048146314

Categorical Structure of Closure Operators With Applications to Topology Algebra and Discrete Mathematics Author :D. Dikranjan Walter Tholen 9789048146314 9048146313

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Categorical Structure of Closure Operators With Applications to Topology, Algebra and Discrete Mathematics - D  Dikranjan  Walter Tholen
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D Dikranjan Walter Tholen:
Categorical Structure of Closure Operators With Applications to Topology, Algebra and Discrete Mathematics - nouveau livre

ISBN: 9789048146314

ID: 773748738

NA, Springer

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Categorical Structure of Closure Operators - Dikran N. Dikranjan; Walter Tholen
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Dikran N. Dikranjan; Walter Tholen:
Categorical Structure of Closure Operators - Livres de poche

2010, ISBN: 9789048146314

ID: 15619264

1st ed. Softcover of orig. ed. 1995, Softcover, Buch, [PU: Springer]

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Détails sur le livre
Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics

This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories. The material is illustrated with many examples and exercises, and open problems are formulated which should stimulate further research. Audience: This volume will be of interest to graduate students and professional researchers in many branches of mathematics and theoretical computer science. Knowledge of algebra, topology, and the basic notions of category theory is assumed.

Informations détaillées sur le livre - Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics


EAN (ISBN-13): 9789048146314
ISBN (ISBN-10): 9048146313
Livre de poche
Date de parution: 2010
Editeur: Springer-Verlag GmbH
380 Pages
Poids: 0,573 kg
Langue: eng/Englisch

Livre dans la base de données depuis 21.09.2010 19:59:58
Livre trouvé récemment le 18.03.2017 15:17:41
ISBN/EAN: 9789048146314

ISBN - Autres types d'écriture:
90-481-4631-3, 978-90-481-4631-4


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