000 03174nam a22004815i 4500
001 978-1-4419-7442-6
003 DE-He213
005 20140220083723.0
007 cr nn 008mamaa
008 110322s2011 xxu| s |||| 0|eng d
020 _a9781441974426
_9978-1-4419-7442-6
024 7 _a10.1007/978-1-4419-7442-6
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514
_223
100 1 _aTkachuk, Vladimir V.
_eauthor.
245 1 2 _aA Cp-Theory Problem Book
_h[electronic resource] :
_bTopological and Function Spaces /
_cby Vladimir V. Tkachuk.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aXVI, 488 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aPreface -- Introduction -- 1.1. Basic notions of topology and function spaces Bibliographic notes -- 1.2. Solutions of problems 1.001–1.500 -- 1.3. Bonus results: some hidden statements -- 1.4. Open problems -- 1.5. Bibliography -- 1.6. List of special symbols -- 1.7. Index.
520 _aThe theory of function spaces endowed with the topology of pointwise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.
650 0 _aMathematics.
650 0 _aTopology.
650 0 _aAlgebraic topology.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aTopology.
650 2 4 _aAlgebraic Topology.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441974419
830 0 _aProblem Books in Mathematics,
_x0941-3502
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-7442-6
912 _aZDB-2-SMA
999 _c105767
_d105767