Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Jonathon Funk"'
Autor:
Jonathon Funk, Pieter Hofstra
Publikováno v:
Semigroup Forum. 104:281-319
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::259ff70ed9392762eaffcb18af0fb5db
https://doi.org/10.1007/s00233-022-10261-x
https://doi.org/10.1007/s00233-022-10261-x
Autor:
Pieter Hofstra, Jonathon Funk
Publikováno v:
Semigroup Forum. 103:715-776
This is an expository paper in which we explain the basic ideas of topos theory in connection with semigroup theory. We focus mainly on the classifying topos of an inverse semigroup or pseudogroup, and to some extent on creating a dictionary between
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5998e508ec0e9a46e6c7f411b92fcfd
https://doi.org/10.1007/s00233-021-10224-8
https://doi.org/10.1007/s00233-021-10224-8
Autor:
Pieter Hofstra, Jonathon Funk
Publikováno v:
Journal of Pure and Applied Algebra. 222:1251-1286
This paper continues the investigation of isotropy theory for toposes. We develop the theory of isotropy quotients of toposes, culminating in a structure theorem for a class of toposes we call locally anisotropic. The theory has a natural interpretat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::545d3d110ad0a138c318c0622a6e25c5
https://doi.org/10.1016/j.jpaa.2017.06.017
https://doi.org/10.1016/j.jpaa.2017.06.017
Autor:
Jonathon Funk, Benjamin Steinberg
Publikováno v:
Applied Categorical Structures. 18:135-163
We examine an inverse semigroup T in terms of the universal locally constant covering of its classifying topos Open image in new window. In particular, we prove that the fundamental group of Open image in new window coincides with the maximum group i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e43f8ea94b2e164afb1d50147662b3a
https://doi.org/10.1007/s10485-008-9147-2
https://doi.org/10.1007/s10485-008-9147-2
Autor:
Jonathon Funk
Publikováno v:
Semigroup Forum. 75:480-519
We establish a semigroup presentation of the classifying topos of an inverse semigroup. For this purpose we consider a category larger than inverse semigroups and prehomomorphisms, whose objects we call left *-semigroups. We show that any etendue has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b730751f615a1dd5664893cecfcf7267
https://doi.org/10.1007/s00233-007-0707-9
https://doi.org/10.1007/s00233-007-0707-9
Autor:
Marta Bunge, Jonathon Funk
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 142:47-62
We establish the existence and uniqueness of a factorization for geometric morphisms that generalizes the pure, complete spread factorization for geometric morphisms with a locally connected domain. A complete spread with locally connected domain ove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::695db495d14e71f00e9bb1a4a382dc99
https://doi.org/10.1017/s0305004106009492
https://doi.org/10.1017/s0305004106009492
Publikováno v:
Advances in Mathematics. 156(1):133-155
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e2654c52a3c9f1163ac06e46a5c79e4
Autor:
Jonathon Funk, Marta Bunge
Publikováno v:
Journal of Pure and Applied Algebra. 143(1-3):69-105
We study Kock–Zoberlein doctrines that satisfy a certain bicomma object condition. Such KZ-doctrines we call admissible. Our investigation is mainly motivated by the example of the symmetric monad on toposes. For an admissible KZ-doctrine, we chara
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7178b5783dee0becb2c3af9babaa82c8
Autor:
Jonathon Funk
Publikováno v:
Journal of Pure and Applied Algebra. 137:17-27
Locally connected Grothendieck toposes are shown to be coreflective in Grothendieck toposes. We refer to this coreflection as locally connected coclosure. The locally connected coclosure of a localic topos is localic. A topos and its locally connecte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72662d8d6f8299b3a4e5090a229f2e4e
https://doi.org/10.1016/s0022-4049(97)00168-0
https://doi.org/10.1016/s0022-4049(97)00168-0
Autor:
Marta Bunge, Jonathon Funk
Publikováno v:
Journal of Pure and Applied Algebra. 130:49-84
We introduce a new intrinsic notion of spread for toposes and geometric morphisms, and use it to give a “topological” characterization of Lawvere distributions on a topos. In the process, we relate spreads to zero-dimensional locales, and establi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db0d5b6f2cbfa0214d83337d70a82a76
https://doi.org/10.1016/s0022-4049(97)00086-8
https://doi.org/10.1016/s0022-4049(97)00086-8