000 | 03306nam a22005055i 4500 | ||
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001 | 978-3-319-20547-2 | ||
003 | DE-He213 | ||
005 | 20190213151552.0 | ||
007 | cr nn 008mamaa | ||
008 | 150907s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319205472 _9978-3-319-20547-2 |
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024 | 7 |
_a10.1007/978-3-319-20547-2 _2doi |
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072 | 7 |
_aPBPD _2bicssc |
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_aMAT038000 _2bisacsh |
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_aPBPD _2thema |
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_a514.2 _223 |
100 | 1 |
_aHackney, Philip. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aInfinity Properads and Infinity Wheeled Properads _h[electronic resource] / _cby Philip Hackney, Marcy Robertson, Donald Yau. |
250 | _a1st ed. 2015. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aXV, 358 p. 213 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2147 |
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505 | 0 | _aIntroduction -- Graphs -- Properads -- Symmetric Monoidal Closed Structure on Properads -- Graphical Properads -- Properadic Graphical Category -- Properadic Graphical Sets and Infinity Properads -- Fundamental Properads of Infinity Properads -- Wheeled Properads and Graphical Wheeled Properads -- Infinity Wheeled Properads -- What's Next?. | |
520 | _aThe topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads, and enable one to encode bialgebraic, rather than just (co)algebraic, structures. The text extends both the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter. Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory. | ||
650 | 0 | _aAlgebraic topology. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 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 |
700 | 1 |
_aRobertson, Marcy. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aYau, Donald. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319205489 |
776 | 0 | 8 |
_iPrinted edition: _z9783319205465 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2147 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-20547-2 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11131 _d11131 |