By Szymon Dolecki,Frédéric Mynard,Frederic Mynard
This textbook is a substitute for a classical introductory e-book in point-set topology. The strategy, although, is considerably diversified from the classical one. it truly is in line with convergence instead of on open and closed sets.
Convergence of filters is a common generalization of the fundamental and famous proposal of convergence of sequences, in order that convergence conception is extra usual and intuitive to many, might be so much, scholars than classical topology. however, the framework of convergence is simpler, extra strong and far-reaching which highlights a necessity for a concept of convergence in numerous branches of analysis.
Convergence thought for filters is steadily brought and systematically constructed. Topological areas are awarded as a different subclass of convergence areas of specific curiosity, yet a wide a part of the fabric frequently built in a topology textbook is handled within the better realm of convergence spaces.
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Extra info for Convergence Foundations of Topology
Convergence Foundations of Topology by Szymon Dolecki,Frédéric Mynard,Frederic Mynard