Inverting operations in operads

Maria Basterra; Irina Bobkova; Kate Ponto; Ulrike Tillmann; Sarah Yeakel

doi:10.1016/j.topol.2017.12.011

Inverting operations in operads

Maria Basterra
, Irina Bobkova
, Kate Ponto
, Ulrike Tillmann
, Sarah Yeakel

Mathematics

Producción científica: Article › revisión exhaustiva

5 Citas (Scopus)

Resumen

We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O→LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.

Idioma original	English
Páginas (desde-hasta)	130-145
Número de páginas	16
Publicación	Topology and its Applications
Volumen	235
DOI	https://doi.org/10.1016/j.topol.2017.12.011
Estado	Published - feb 15 2018

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Publisher Copyright:
© 2017 Elsevier B.V.

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2017.12.011

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abstract = "We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O→LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.",

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author = "Maria Basterra and Irina Bobkova and Kate Ponto and Ulrike Tillmann and Sarah Yeakel",

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T1 - Inverting operations in operads

AU - Basterra, Maria

AU - Bobkova, Irina

AU - Ponto, Kate

AU - Tillmann, Ulrike

AU - Yeakel, Sarah

PY - 2018/2/15

Y1 - 2018/2/15

N2 - We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O→LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.

AB - We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O→LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.

KW - Hammock localization

KW - Operads

KW - Simplicial localization

KW - Symmetric monoidal categories

KW - Trees

UR - https://www.scopus.com/pages/publications/85040777534

UR - https://www.scopus.com/pages/publications/85040777534#tab=citedBy

U2 - 10.1016/j.topol.2017.12.011

DO - 10.1016/j.topol.2017.12.011

M3 - Article

AN - SCOPUS:85040777534

SN - 0166-8641

VL - 235

SP - 130

EP - 145

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Inverting operations in operads

Resumen

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ASJC Scopus subject areas

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