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What is a noncommutative topos?

Karin Cvetko-Vah

Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia

E-mail Address: [email protected]

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Jens Hemelaer

Department of Mathematics, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium

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, and

Lieven Le Bruyn

Department of Mathematics, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium

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Corresponding author.

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https://doi.org/10.1142/S021949881950107XCited by:1 (Source: Crossref)

Abstract

In [Cvetko-Vah, Non-commutative frames, J. Algebra Appl. (2018), https://doi.org/10.1142/S0219498819500117] noncommutative frames were introduced, generalizing the usual notion of frames of open sets of a topological space. In this paper, we extend this notion to noncommutative versions of Grothendieck topologies and their associated noncommutative toposes of sheaves of sets.

Communicated by A. Facchini

For Fred Van Oystaeyen on his 70th birthday.

Keywords:

AMSC: 18B25, 06D75, 14A22

References

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