Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Jens Hemelaer"'
Autor:
Morgan Rogers, Jens Hemelaer
Publikováno v:
Applied categorical structures
We give an example of an essential, hyperconnected, local geometric morphism that is not locally connected, arising from our work-in-progress on geometric morphisms $\mathbf{PSh}(M) \to \mathbf{PSh}(N)$, where $M$ and $N$ are monoids.
Comment: 3
Comment: 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfdf5fe521bd96366fbd63aad4381448
https://hdl.handle.net/10067/1761680151162165141
https://hdl.handle.net/10067/1761680151162165141
Autor:
Morgan Rogers, Jens Hemelaer
Publikováno v:
Applied categorical structures
We systematically investigate, for a monoid $M$, how topos-theoretic properties of $\mathbf{PSh}(M)$, including the properties of being atomic, strongly compact, local, totally connected or cohesive, correspond to semigroup-theoretic properties of $M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d83c250f731c9e22787949bdfa19a9df
https://repository.uantwerpen.be/docstore/d:irua:4465
https://repository.uantwerpen.be/docstore/d:irua:4465
Publikováno v:
ARS Mathematica contemporanea
In this note, we correct an error in arXiv:1702.04949 by adding an additional assumption of join completeness. We demonstrate with examples why this assumption is necessary, and discuss how join completeness relates to other properties of a skew latt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbb6be403c8cce76b69d72b59ff4592b
http://arxiv.org/abs/1911.12355
http://arxiv.org/abs/1911.12355
Autor:
Jens Hemelaer
Publikováno v:
Applied categorical structures
Butz and Moerdijk famously showed that every (Grothendieck) topos with enough points is equivalent to the category of sheaves on some topological groupoid. We give an alternative, more algebraic construction in the special case of a topos of presheav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59d483a61d573ff4e4a28fe6e9ab03ef
http://arxiv.org/abs/1906.02690
http://arxiv.org/abs/1906.02690
Publikováno v:
Topology and its applications
We characterize the left-handed noncommutative frames that arise from sheaves on topological spaces. Further, we show that a general left-handed noncommutative frame $A$ arises from a sheaf on the dissolution locale associated to the commutative shad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e70b64df81102200ba4a65f73850dc0
https://doi.org/10.1016/j.topol.2020.107310
https://doi.org/10.1016/j.topol.2020.107310
Autor:
Jens Hemelaer
Publikováno v:
Journal of number theory
We study the topos of sets equipped with an action of the monoid of regular $2 \times 2$ matrices over the integers. In particular, we show that the topos-theoretic points are given by the double quotient $\left. GL_2(\hat{\mathbb{Z}}) ~\middle\backs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5286501af36077f0fdc9bddeef1e2796
http://arxiv.org/abs/1806.01887
http://arxiv.org/abs/1806.01887
Publikováno v:
Journal of Algebra & Its Applications
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9413e29c2e992665de747f06c1df73b9
Autor:
Morgan Rogers, Jens Hemelaer
Publikováno v:
Semigroup forum
FitzGerald identified four conditions (RI), (UR), (RI*) and (UR*) that are necessarily satisfied by an algebra if its monoid of endomorphisms has commuting idempotents. We show that these conditions are not sufficient, by giving an example of an alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bddc13777c973e5d418856849a50976d