000 | 03490nam a22004815i 4500 | ||
---|---|---|---|
001 | 978-3-540-89056-0 | ||
003 | DE-He213 | ||
005 | 20190213151725.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2009 gw | s |||| 0|eng d | ||
020 |
_a9783540890560 _9978-3-540-89056-0 |
||
024 | 7 |
_a10.1007/978-3-540-89056-0 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
|
072 | 7 |
_aPBF _2thema |
|
082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aFresse, Benoit. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aModules over Operads and Functors _h[electronic resource] / _cby Benoit Fresse. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2009. |
|
300 |
_aX, 314 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 ; _v1967 |
|
505 | 0 | _aCategorical and operadic background -- Symmetric monoidal categories for operads -- Symmetric objects and functors -- Operads and algebras in symmetric monoidal categories -- Miscellaneous structures associated to algebras over operads -- The category of right modules over operads and functors -- Definitions and basic constructions -- Tensor products -- Universal constructions on right modules over operads -- Adjunction and embedding properties -- Algebras in right modules over operads -- Miscellaneous examples -- Homotopical background -- Symmetric monoidal model categories for operads -- The homotopy of algebras over operads -- The (co)homology of algebras over operads -- The homotopy of modules over operads and functors -- The model category of right modules -- Modules and homotopy invariance of functors -- Extension and restriction functors and model structures -- Miscellaneous applications -- Appendix: technical verifications -- Shifted modules over operads and functors -- Shifted functors and pushout-products -- Applications of pushout-products of shifted functors. | |
520 | _aThe notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics. This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aAlgebraic topology. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540891468 |
776 | 0 | 8 |
_iPrinted edition: _z9783540890553 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1967 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-89056-0 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11661 _d11661 |