By Vladimir V. Tkachuk

This fourth quantity in Vladimir Tkachuk's sequence on Cp-theory offers kind of entire insurance of the theory of sensible equivalencies through 500 rigorously chosen difficulties and routines. via systematically introducing all of the significant subject matters of Cp-theory, the e-book is meant to convey a devoted reader from simple topological rules to the frontiers of contemporary research. The ebook provides entire and updated info at the upkeep of topological homes by way of homeomorphisms of functionality areas.  An exhaustive idea 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 speculation of in the neighborhood convex areas, in addition to  the speculation of inverse structures and dimension idea. furthermore, the inclusion of Kolmogorov's solution of Hilbert's challenge thirteen is integrated because it is required for the presentation of the speculation of l-equivalent areas. This quantity comprises crucial classical effects on sensible equivalencies, in particular,  Gul'ko and Khmyleva's instance of  non-preservation of  compactness by means 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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