Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 399525

The classifying topos of a topological bicategory


Baković, Igor; Jurco, Branislav
The classifying topos of a topological bicategory, 2010. (članak).


CROSBI ID: 399525 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
The classifying topos of a topological bicategory

Autori
Baković, Igor ; Jurco, Branislav

Izvornik
Homotopy homology and applications

Vrsta, podvrsta
Ostale vrste radova, članak

Godina
2010

Ključne riječi
bicategory; Duskin nerve; classifying topos; bisimplicial space

Sažetak
For any topological bicategory 2C, the Duskin nerve N2C of 2C is a simplicial space. We introduce the classifying topos B2C of 2C as the Deligne topos of sheaves Sh(N2C) on the simplicial space 2NC. It is shown that the category of topos morphisms from the topos of sheaves Sh(X) on a topological space X to the Deligne classifying topos Sh(N2C) is naturally equivalent to the category of principal 2C-bundles. As a simple consequence, the geometric realization of the nerve N2C of a locally contractible topological bicategory 2C is the classifying space of principal 2C-bundles (on CW complexes), giving a variant of the result of Baas, Bokstedt and Kro derived in the context of bicategorical K-theory. We also define classifying topoi of a topological bicategory 2C using sheaves on other types of nerves of a bicategory given by Lack and Paoli, Simpson and Tamsamani by means of bisimplicial spaces, and we examine their properties.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika



POVEZANOST RADA


Projekti:
098-0982930-2900 - Nekomutativni prostori u fizici visokih energija

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Igor Baković (autor)

Citiraj ovu publikaciju

Baković, Igor; Jurco, Branislav
The classifying topos of a topological bicategory, 2010. (članak).
Baković, I. & Jurco, B. (2010) The classifying topos of a topological bicategory. Homotopy homology and applications. članak.
@unknown{unknown, year = {2010}, keywords = {bicategory, Duskin nerve, classifying topos, bisimplicial space}, title = {The classifying topos of a topological bicategory}, keyword = {bicategory, Duskin nerve, classifying topos, bisimplicial space} }
@unknown{unknown, year = {2010}, keywords = {bicategory, Duskin nerve, classifying topos, bisimplicial space}, title = {The classifying topos of a topological bicategory}, keyword = {bicategory, Duskin nerve, classifying topos, bisimplicial space} }




Contrast
Increase Font
Decrease Font
Dyslexic Font