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

By Vladimir V. Tkachuk

ISBN-10: 3319243837

ISBN-13: 9783319243832

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. by way of systematically introducing all the significant issues of Cp-theory, the e-book is meant to convey a devoted reader from uncomplicated topological ideas to the frontiers of contemporary research. The publication offers whole and updated info at the upkeep of topological houses via homeomorphisms of functionality areas.  An exhaustive idea 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 structures and dimension conception. in addition, the inclusion of Kolmogorov's solution of Hilbert's challenge thirteen is incorporated because it is required for the presentation of the idea of l-equivalent areas. This quantity includes crucial classical effects on practical equivalencies, in particular,  Gul'ko and Khmyleva's instance of  non-preservation of  compactness via 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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