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001 978-3-319-50448-3
003 DE-He213
005 20190213151617.0
007 cr nn 008mamaa
008 170102s2016 gw | s |||| 0|eng d
020 _a9783319504483
_9978-3-319-50448-3
024 7 _a10.1007/978-3-319-50448-3
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a514.2
_223
100 1 _aCostenoble, Steven R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aEquivariant Ordinary Homology and Cohomology
_h[electronic resource] /
_cby Steven R. Costenoble, Stefan Waner.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXIV, 294 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2178
505 0 _a1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.
520 _aFilling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through sophisticated machinery but still desiring a rigorous understanding of the main concepts. The subject’s classical counterparts, ordinary homology and cohomology, dating back to the work of Henri Poincaré in topology, are calculational and theoretical tools which are important in many parts of mathematics and theoretical physics, particularly in the study of manifolds. Similarly powerful tools have been lacking, however, in the context of equivariant topology. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions. .
650 0 _aAlgebraic topology.
650 0 _aCell aggregation
_xMathematics.
650 0 _aAlgebra.
650 0 _aTopological Groups.
650 1 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
650 2 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
700 1 _aWaner, Stefan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319504476
776 0 8 _iPrinted edition:
_z9783319504490
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2178
856 4 0 _uhttps://doi.org/10.1007/978-3-319-50448-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11270
_d11270