Download e-book for iPad: A Cp-Theory Problem Book: Compactness in Function Spaces by Vladimir V Tkachuk
By Vladimir V Tkachuk
This 3rd quantity in Vladimir Tkachuk's sequence on Cp-theory difficulties applies all sleek tools of Cp-theory to check compactness-like homes in functionality areas and introduces the reader to the speculation of compact areas generic in useful research. The textual content is designed to deliver a committed reader from easy topological rules to the frontiers of recent learn overlaying a large choice of issues in Cp-theory and basic topology on the expert level.
The first quantity, Topological and serve as areas © 2011, supplied an creation from scratch to Cp-theory and common topology, getting ready the reader for a qualified realizing of Cp-theory within the final element of its major textual content. the second one quantity, Special positive factors of functionality areas © 2014, endured from the 1st, giving quite entire assurance of Cp-theory, systematically introducing all the significant issues and offering 500 rigorously chosen difficulties and workouts with entire recommendations. This 3rd quantity is self-contained and works in tandem with the opposite , containing rigorously chosen difficulties and options. it might probably even be regarded as an creation to complex set conception and descriptive set concept, proposing different themes of the idea of functionality areas with the topology of element clever convergence, or Cp-theory which exists on the intersection of topological algebra, practical research and common topology.
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A Cp-Theory Problem Book: Compactness in Function Spaces (Problem Books in Mathematics) by Vladimir V Tkachuk