Foundations of Algebraic Topology, Eilenberg Samuel, Steenrod Norman

Автор: Spanier, Edwin H
Название: Algebraic topology
ISBN: 0387944265 ISBN-13(EAN): 9780387944265
Издательство: Springer
Рейтинг:
Цена: 10480.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.

Автор: Dolecki Szymon Et Al
Название: Convergence Foundations Of Topology
ISBN: 9814571512 ISBN-13(EAN): 9789814571517
Издательство: World Scientific Publishing
Рейтинг:
Цена: 19008.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

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.

Автор: Dolecki Szymon Et Al
Название: Convergence Foundations Of Topology
ISBN: 9814571520 ISBN-13(EAN): 9789814571524
Издательство: World Scientific Publishing
Рейтинг:
Цена: 10296.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

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.