Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Benjamin Vejnar"'
Autor:
HENK BRUIN, BENJAMIN VEJNAR
Publikováno v:
The Journal of Symbolic Logic. 88:562-578
We study the complexity of the classification problem of conjugacy on dynamical systems on some compact metrizable spaces. Especially we prove that the conjugacy equivalence relation of interval dynamical systems is Borel bireducible to isomorphism e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98c908a9e60f4c20b8c8fa4dfd9c5d74
https://doi.org/10.1017/jsl.2022.67
https://doi.org/10.1017/jsl.2022.67
Autor:
Jan Dudák, Benjamin Vejnar
It is well known due to Hahn and Mazurkiewicz that every Peano continuum is a continuous image of the unit interval. We prove that an assignment, which takes as an input a Peano continuum and produces as an output a continuous mapping whose range is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47004d42b8d9482d4cbcd0edb99325ec
Autor:
Benjamin Vejnar
We answer a question of Piotr Minc by proving that there is no compact metrizable space whose set of components contains a unique topological copy of every metrizable compactification of a ray (i.e. a half-open interval) with an arc (i.e. closed boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be457229a9128c8f82efcfaf725df24a
http://arxiv.org/abs/2001.11281
http://arxiv.org/abs/2001.11281
Publikováno v:
Glasnik matematički
Volume 55
Issue 2
Volume 55
Issue 2
The aim of this errata is to claim that [2, Theorem 4.5] is not true. This mistake was pointed to us by W. J. Charatonik. In the false "proof" of [2, Theorem 4.5] the authors argue by a false note mentioned by Bing that every continuum which is both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86168dfb4908827d074c71136e2d4784
https://hrcak.srce.hr/248673
https://hrcak.srce.hr/248673
Publikováno v:
Topology and its Applications, 266:106836. Elsevier
We introduce the notion of compactifiable classes -- these are classes of metrizable compact spaces that can be up to homeomorphic copies ``disjointly combined'' into one metrizable compact space. This is witnessed by so-called compact composition of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31bd23e1b99f1260b14b4528e601b3bd
https://doi.org/10.1016/j.topol.2019.106836
https://doi.org/10.1016/j.topol.2019.106836
Publikováno v:
Topology and its Applications. 210:263-268
Following the question of Artigue we construct a minimal homeomorphism g : X → X on a Peano continuum X with the following property: there exist a positive number e and a dense G δ subset E of X such that every non-trivial subcontinuum of X inters
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::396e1862960aa729088709651586d814
https://doi.org/10.1016/j.topol.2016.07.022
https://doi.org/10.1016/j.topol.2016.07.022
Publikováno v:
Topology and its Applications. 208:93-105
We prove that for every fixed nondegenerate Peano continuum X there exists a continuum-sized family of compactifications of the ray with X as remainder that is pairwise incomparable by continuous mappings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac752755515a35f4e1c75ed6bbe7aaea
https://doi.org/10.1016/j.topol.2016.05.008
https://doi.org/10.1016/j.topol.2016.05.008
Publikováno v:
Journal of Mathematical Analysis and Applications. 440:922-939
In the present article we investigate Darji's notion of Haar meager sets from several directions. We consider alternative definitions and show that some of them are equivalent to the original one, while others fail to produce interesting notions. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bce5e35a19b6a8d1e14ec3f20390c71e
https://doi.org/10.1016/j.jmaa.2016.03.065
https://doi.org/10.1016/j.jmaa.2016.03.065
Publikováno v:
Glasnik matematički
Volume 51
Issue 1
ResearcherID
Volume 51
Issue 1
ResearcherID
In a nondegenerate continuum we study the set of non-cut points. We show that it can be stratified by inclusion into six natural subsets (containing also non-block and shore points). Among other results we show that every nondegenerate continuum cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::152652cc53c4faa38970f8616fe4fe81
https://doi.org/10.3336/gm.51.1.14
https://doi.org/10.3336/gm.51.1.14
Publikováno v:
Topology and its Applications. 202:346-355
We continue in the study of blockers in continua that were first defined by Illanes and Krupski. Especially, we are dealing with the following question of these authors. For a given continuum, if each closed set that blocks any finite set also blocks
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5035c259a886cfdd8e6434a645bd96a0
https://doi.org/10.1016/j.topol.2016.01.013
https://doi.org/10.1016/j.topol.2016.01.013