Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Gabriel Debs"'
Autor:
Farah, Ilijas
Publikováno v:
The Bulletin of Symbolic Logic, 2004 Sep 01. 10(3), 430-434.
Externí odkaz:
https://www.jstor.org/stable/3185196
Autor:
Ilijas Farah
Publikováno v:
Bulletin of Symbolic Logic. 10:430-434
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1eaad37b792b7aea4704aebb38f1a3f
https://doi.org/10.1017/s1079898600003851
https://doi.org/10.1017/s1079898600003851
Autor:
Jean Saint Raymond, Gabriel Debs
Publikováno v:
Proceedings of the American Mathematical Society. 148:859-873
Extending a result of A. Kechris we prove that under suitable assumptions on the class Γ \mathbf {\Gamma } of Borel sets, in particular when Γ \mathbf {\Gamma } is a Baire class, if any ⅁ Γ \Game \mathbf {\Gamma } set is reducible to some ⅁ Γ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::665b1b75af7a78b01534c81f088e6f20
https://doi.org/10.1090/proc/14731
https://doi.org/10.1090/proc/14731
Autor:
Jean Saint Raymond, Gabriel Debs
Publikováno v:
Fundamenta Mathematicae
Fundamenta Mathematicae, Instytut Matematyczny, Polskiej Akademii Nauk, 2020, 249 (3), pp.261-286. ⟨10.4064/fm754-7-2019⟩
Fundamenta Mathematicae, Instytut Matematyczny, Polskiej Akademii Nauk, 2020, 249 (3), pp.261-286. ⟨10.4064/fm754-7-2019⟩
International audience; We investigate the descriptive complexity of connectedness (pathwise connectedness, local connectedness) of Polish spaces, and prove that even in the frame of finite dimensional euclidean spaces this complexity can be as high
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a81e4cae7077c5f1501c9abda3ec602f
https://hal.sorbonne-universite.fr/hal-02955782/document
https://hal.sorbonne-universite.fr/hal-02955782/document
Autor:
Gabriel Debs, Jean Saint-Raymond
Publikováno v:
The Journal of Symbolic Logic
The Journal of Symbolic Logic, Association for Symbolic Logic, 2019, 84 (3), pp.1224-1239. ⟨10.1017/jsl.2019.40⟩
The Journal of Symbolic Logic, Association for Symbolic Logic, 2019, 84 (3), pp.1224-1239. ⟨10.1017/jsl.2019.40⟩
We study the behavior of the game operator $$ on Wadge classes of Borel sets. In particular we prove that the classical Moschovakis results still hold in this setting. We also characterize Wadge classes ${\bf{\Gamma }}$ for which the class has the su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::808d8fb01b00794819ee41680d605525
https://hal.sorbonne-universite.fr/hal-02421644
https://hal.sorbonne-universite.fr/hal-02421644
Autor:
Gabriel Debs
Publikováno v:
Fundamenta Mathematicae. 224:187-202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4237206bfb449edc13d6de36556b053
https://doi.org/10.4064/fm224-2-4
https://doi.org/10.4064/fm224-2-4
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Topology and its Applications. 159:2205-2227
For all m ⩾ 1 let N m be the filter on ω m obtained from the Frechet filter on ω by iterating the Fubini product operation. One easily checks that N m is a Σ 2 m 0 subset of P ( ω m ) and the main result of this work states that in any Π 2 m 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd116511d7df6b7824ad8458608d5d75
https://doi.org/10.1016/j.topol.2012.03.004
https://doi.org/10.1016/j.topol.2012.03.004
Autor:
Gabriel Debs
Publikováno v:
Journal of Mathematical Analysis and Applications. 350:731-744
It is well known by a classical result of Bourgain–Fremlin–Talagrand that if K is a pointwise compact set of Borel functions on a Polish space then given any cluster point f of a sequence ( f n ) n ∈ ω in K one can extract a subsequence ( f n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fc45c482c369696a2809cca83503356
https://doi.org/10.1016/j.jmaa.2008.06.031
https://doi.org/10.1016/j.jmaa.2008.06.031
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Transactions of the American Mathematical Society. 361:2831-2869
Given a countable family ( Γ i ) i ∈ I (\mathbf {\Gamma }_i)_{i\in I} of additive or multiplicative Baire classes ( Γ i = Σ ξ i 0 \mathbf {\Gamma }_i=\mathbf {\Sigma }^0_{\xi _i} or Π ξ i 0 \mathbf {\Pi }^0_{\xi _i} ) we investigate the follo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff6bb18d9ea051945164abd129cfd556
https://doi.org/10.1090/s0002-9947-09-04930-7
https://doi.org/10.1090/s0002-9947-09-04930-7
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Fundamenta Mathematicae. 204:189-213
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a59710d2054521c52edf7ed8cff1ab07
https://doi.org/10.4064/fm204-3-1
https://doi.org/10.4064/fm204-3-1