CONVERGENCE FOUNDATIONS OF TOPOLOGY.pdf

CONVERGENCE FOUNDATIONS OF TOPOLOGY

Szymon Dolecki

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.

Convergence Foundations Of Topology : Szymon … 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

9.52 MB DATEIGRÖSSE
9814571520 ISBN
Englisch SPRACHE
CONVERGENCE FOUNDATIONS OF TOPOLOGY.pdf

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Convergence Foundations Of Topology : Szymon …

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Matteo Müller

10 Mar 2001 ... [0,1]-topological spaces [5, 14] as well as Choquet convergence ... Höhle and A. P. Šostak, Axiomatic foundations of fixed-basis fuzzy topology, ... Keywords: quasi-uniform space; topology of quasi-uniform convergence on ... Translation, Foundations of General Topology, Macmillan Company, 1963.

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Jason Lehmann

01.07.2016 · 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. Sample Chapter(s)

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