Convergence Foundations of Topology

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9789814571524: Convergence Foundations of Topology

"It is clear that the book, with its high level of scholarship, is a labour of love on the part of its authors, and it will no doubt make quite a dent in the right circles . . . The mature reader, disposed to this way of redoing topology, will have a great time." Mathematical Association of America This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis. Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.

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The textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. On the one hand, convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis. Convergence theory for filters is gradually introduced and systematically developed. Topology spaces are introduced as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces. A number of exercises (with solutions) form an essential part of the text. Additional problems for each chapter are included (without solutions).

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1.

Szymon Dolecki, Frederic Mynard
Editorial: World Scientific Publishing Co Pte Ltd, Singapore (2016)
ISBN 10: 9814571520 ISBN 13: 9789814571524
Nuevos Paperback Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción World Scientific Publishing Co Pte Ltd, Singapore, 2016. Paperback. Estado de conservación: New. Language: English . Brand New Book. This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces. Nº de ref. de la librería AAZ9789814571524

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DOLECKI SZYMON ET AL
Editorial: World Scientific Publishing Co Pte Ltd 2016-07-14 (2016)
ISBN 10: 9814571520 ISBN 13: 9789814571524
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Descripción World Scientific Publishing Co Pte Ltd 2016-07-14, 2016. paperback. Estado de conservación: New. Nº de ref. de la librería 9789814571524

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Szymon Dolecki
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Descripción World Scientific Publishing Co Pte Ltd, 2016. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CA-9789814571524

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Dolecki, Syzmon/ Mynard, Frederic
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Descripción Estado de conservación: New. Nº de ref. de la librería 23402770-n

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Szymon Dolecki, Frederic Mynard
Editorial: World Scientific Publishing Co Pte Ltd, Singapore (2016)
ISBN 10: 9814571520 ISBN 13: 9789814571524
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The Book Depository US
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Descripción World Scientific Publishing Co Pte Ltd, Singapore, 2016. Paperback. Estado de conservación: New. Language: English . Brand New Book. This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces. Nº de ref. de la librería AAZ9789814571524

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Szymon Dolecki
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Descripción Estado de conservación: New. Bookseller Inventory # ST9814571520. Nº de ref. de la librería ST9814571520

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Szymon Dolecki, Frederic Mynard
Editorial: World Scientific Publishing Co Pte Ltd 2016-08-06 (2016)
ISBN 10: 9814571520 ISBN 13: 9789814571524
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Descripción World Scientific Publishing Co Pte Ltd 2016-08-06, 2016. Paperback. Estado de conservación: New. Nº de ref. de la librería NU-MAR-00028966

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Szymon Dolecki, Frederic Mynard
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ISBN 10: 9814571520 ISBN 13: 9789814571524
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Descripción World Scientific Publishing Co Pte Ltd. Paperback. Estado de conservación: new. BRAND NEW, Convergence Foundation of Topology, Szymon Dolecki, Frederic Mynard, The textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. On the one hand, convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis. Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are introduced as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces. A number of exercises (with solutions) form an essential part of the text. Additional problems for each chapter are included (without solutions). Nº de ref. de la librería B9789814571524

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Szymon Dolecki, Frederic Mynard
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ISBN 10: 9814571520 ISBN 13: 9789814571524
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Descripción World Scientific Publishing Company, 2016. Estado de conservación: New. Num Pages: 568 pages. BIC Classification: PBP. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 155 x 228 x 30. Weight in Grams: 830. . 2016. Paperback. . . . . . Nº de ref. de la librería V9789814571524

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Szymon Dolecki
ISBN 10: 9814571520 ISBN 13: 9789814571524
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Descripción Estado de conservación: New. Bookseller Inventory # ST9814571520. Nº de ref. de la librería ST9814571520

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