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200 10$aGeometry of loop spaces and the cobar construction /$fby H.J. Baues
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1980]
210  4$d©1980
215   $a1 online resource (194 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 230
300   $a"Volume 25 ... first of 3 numbers."
300   $aIncludes index.
311   $a0-8218-2230-6 
320   $aBibliography: pages 168.
327   $a""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""A? 1 The geometric bar construction""; ""A? 2 The geometric cobar construction for simplicial spaces""; ""A? 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""A? 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""A? 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""A? 2 A model theorem for loop spaces""
327   $a""A? 3 Approximation of path spaces""""A? 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""A? 1 Abstract complexes""; ""A? 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""A? 3 Cellular strings in the simplex""; ""A? 4 Cellular strings in the cube""; ""A? 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""A? 6 Cellular strings in products of simplices""; ""A? 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications""
410  0$aMemoirs of the American Mathematical Society ;$vno. 230.
606   $aLoop spaces
606   $aCobar construction (Topology)
606   $aFunctor theory
606   $aComplexes, Semisimplicial
615  0$aLoop spaces.
615  0$aCobar construction (Topology)
615  0$aFunctor theory.
615  0$aComplexes, Semisimplicial.
676   $a510 s
676   $a514/.224
700   $aBaues$b Hans J.$f1943-$054336
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906   $aBOOK
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996   $aGeometry of loop spaces and the cobar construction$94066778
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