Download PDF by Vladimir V. Tkachuk: A Cp-Theory Problem Book: Topological and Function Spaces

By Vladimir V. Tkachuk

the idea of functionality areas endowed with the topology of element clever convergence, or Cp-theory, exists on the intersection of 3 vital parts of arithmetic: topological algebra, useful research, and normal topology. Cp-theory has a massive function within the class and unification of heterogeneous effects from each one of those parts of research.

Through over 500 rigorously chosen difficulties and workouts, this quantity presents a self-contained creation to Cp-theory and basic topology. through systematically introducing all the significant subject matters in Cp-theory, this quantity is designed to carry a committed reader from simple topological rules to the frontiers of recent research.

Key beneficial properties include:

- a different problem-based creation to the speculation of functionality spaces.

- targeted recommendations to every of the provided difficulties and exercises.

- A finished bibliography reflecting the state of the art in sleek Cp-theory.

- quite a few open difficulties and instructions for additional research.

This quantity can be utilized as a textbook for classes in either Cp-theory and basic topology in addition to a reference consultant for experts learning Cp-theory and comparable issues. This ebook additionally presents quite a few themes for PhD specialization in addition to a wide number of fabric appropriate for graduate research.

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A Cp-Theory Problem Book: Topological and Function Spaces (Problem Books in Mathematics) by Vladimir V. Tkachuk

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