A Cp-Theory Problem Book: Functional Equivalencies (Problem - download pdf or read online

By Vladimir V. Tkachuk

This fourth quantity in Vladimir Tkachuk's sequence on Cp-theory supplies kind of entire insurance of the theory of sensible equivalencies through 500 conscientiously chosen difficulties and workouts. via systematically introducing all of the significant themes of Cp-theory, the publication is meant to deliver a committed reader from uncomplicated topological rules to the frontiers of recent research. The e-book provides whole and up to date info at the maintenance of topological houses via homeomorphisms of functionality areas.  An exhaustive concept of t-equivalent, u-equivalent and l-equivalent areas is built from scratch.   The reader also will locate introductions to the idea of uniform areas, the idea of in the neighborhood convex areas, in addition to  the speculation of inverse platforms and dimension thought. furthermore, the inclusion of Kolmogorov's solution of Hilbert's challenge thirteen is incorporated because it is required for the presentation of the speculation of l-equivalent areas. This quantity includes an important classical effects on useful equivalencies, in particular,  Gul'ko and Khmyleva's instance of  non-preservation of  compactness by way of t-equivalence, Okunev's approach to constructing  l-equivalent areas and the theory of Marciszewski and Pelant on u-invariance of absolute Borel sets.

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A Cp-Theory Problem Book: Functional Equivalencies (Problem Books in Mathematics) by Vladimir V. Tkachuk

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