Download e-book for iPad: A Cp-Theory Problem Book: Functional Equivalencies (Problem by Vladimir V. Tkachuk

By Vladimir V. Tkachuk

This fourth quantity in Vladimir Tkachuk's sequence on Cp-theory supplies quite entire insurance of the theory of practical equivalencies through 500 rigorously chosen difficulties and routines. by way of systematically introducing all the significant themes of Cp-theory, the booklet is meant to carry a committed reader from simple topological ideas to the frontiers of contemporary research. The booklet provides entire and up to date info at the renovation of topological houses by means of homeomorphisms of functionality areas.  An exhaustive thought of t-equivalent, u-equivalent and l-equivalent areas is constructed from scratch.   The reader also will locate introductions to the speculation of uniform areas, the speculation of in the community 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 practical equivalencies, in particular,  Gul'ko and Khmyleva's instance of  non-preservation of  compactness through t-equivalence, Okunev's approach to constructing  l-equivalent areas and the concept 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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