Convergence Foundations Of Topology
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€132.99
A01=Frederic Mynard
A01=Szymon Dolecki
Author_Frederic Mynard
Author_Szymon Dolecki
Category=PBP
Compactness
Completeness
Connectedness
Continuity
Convergence
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Function Space
Hyperspace
Metrizability
Pretopology
Pseudotopology
Topology
Product details
- ISBN 9789814571517
- Publication Date: 14 Jul 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
