000 02469nam a22004815i 4500
001 978-3-540-44912-6
003 DE-He213
005 20190213151229.0
007 cr nn 008mamaa
008 121227s1995 gw | s |||| 0|eng d
020 _a9783540449126
_9978-3-540-44912-6
024 7 _a10.1007/BFb0094441
_2doi
050 4 _aQA612.33
072 7 _aPBPD
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a512.66
_223
100 1 _aMoerdijk, Izak.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aClassifying Spaces and Classifying Topoi
_h[electronic resource] /
_cby Izak Moerdijk.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1995.
300 _aX, 98 p.
_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 ;
_v1616
505 0 _aBackground in topos theory -- Classifying topoi -- Geometric realization -- Comparison theorems -- Classifying spaces and classifying topoi.
520 _aThis monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
650 0 _aK-theory.
650 0 _aAlgebraic topology.
650 1 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662189870
776 0 8 _iPrinted edition:
_z9783540603191
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1616
856 4 0 _uhttps://doi.org/10.1007/BFb0094441
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9959
_d9959