Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Leonard R. Rubin"'
Autor:
Leonard R. Rubin
Publikováno v:
Applied General Topology, Vol 19, Iss 1, Pp 9-20 (2018)
It has been shown by S. Mardešić that if a compact metrizable space X has dim X ≥ 1 and X is the inverse limit of an inverse sequence of compact triangulated polyhedra with simplicial bonding maps, then X must contain an arc. We are going to prov
Externí odkaz:
https://doaj.org/article/284815599360403b8caaaecc216211d0
Autor:
Ivan Ivansic, Leonard R. Rubin
Publikováno v:
Applied General Topology, Vol 16, Iss 2, Pp 209-215 (2015)
Let Z, H be spaces. In previous work, we introduced the direct (inclusion) system induced by the set of maps between the spaces Z and H. Its direct limit is a subset of Z × H, but its topology is different from the relative topology. We found that m
Externí odkaz:
https://doaj.org/article/0727957b0546488180e8649df1e7e696
Autor:
Matthew Lynam, Leonard R. Rubin
Publikováno v:
Glasnik matematički
Volume 55
Issue 1
Volume 55
Issue 1
In 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m,n)-dimension of a space. It generalizes covering dimension. Here we are going to look at this concept in the setting of approximate inverse systems of compact metr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21640e6ecc7a0501defa2bd7dd665c13
https://doi.org/10.3336/gm.55.1.11
https://doi.org/10.3336/gm.55.1.11
Autor:
Matthew Lynam, Leonard R. Rubin
Publikováno v:
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti
Issue 551=26
Issue 551=26
In 2012, V. Fedorchuk, using m-pairs and n-partitions, introduced the notion of the (m, n)-dimension of a space. It generalizes covering dimension; Fedorchuk showed that (m, n)-dimension is preserved in inverse limits of compact Hausdorff spaces. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c60ece8a579d819db71a56dcd67aa59
https://hrcak.srce.hr/file/410947
https://hrcak.srce.hr/file/410947
Autor:
Vlasta Matijević, Leonard R. Rubin
We shall prove that if X is a Hausdorff paracompactum with at least one nontrivial quasicomponent, then none of its Cech systems can be commutative and none can support the structure of an approximate inverse system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::466ff88ffd42bb1b3b2cf6b91cad29eb
https://www.bib.irb.hr/1267588
https://www.bib.irb.hr/1267588
Autor:
Leonard R. Rubin, Vlasta Matijević
In previous work we showed that if a paracompact Hausdorff space contains a nontrivial component, then none of the Cech systems of the nerves of its open covers can be an approximate (inverse) system. This extended a theorem of the first author who,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::122a1b3bf4488d20a509718b73e1df20
https://www.bib.irb.hr/1111593
https://www.bib.irb.hr/1111593
Autor:
Leonard R. Rubin, Vlasta Matijević
Publikováno v:
Glasnik matematički
Volume 55
Issue 2
Volume 55
Issue 2
We generalize a result of the first author who proved that the Čech system of open covers of a Hausdorff arc-like space cannot induce an approximate system of the nerves of these covers under any choices of the meshes and the projections.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66f8e47b77304fcf80f9af97735777a2
https://www.bib.irb.hr/1111578
https://www.bib.irb.hr/1111578
Autor:
Matthew Lynam, Leonard R. Rubin
Publikováno v:
Topology and its Applications. 239:324-336
In 2012, Žiga Virk introduced the notion of an extensional equivalence, herein called an extensional map, and used it to generalize part of the extension theory factorization theorem of M. Levin, L. Rubin, and P. Schapiro. Here were are going to stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39c932cb652d925957725b07f4ec0605
https://doi.org/10.1016/j.topol.2018.02.017
https://doi.org/10.1016/j.topol.2018.02.017
Autor:
Leonard R. Rubin
Publikováno v:
Topology and its Applications. 228:243-276
Let C be a class of spaces. An element Z ∈ C is called universal for C if each element of C embeds in Z. It is well-known that for each n ∈ N , there exists a universal element for the class of metrizable compacta X of (covering) dimension dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a8d68ac462de358800970a15760241a
https://doi.org/10.1016/j.topol.2017.05.004
https://doi.org/10.1016/j.topol.2017.05.004
Autor:
Vera Tonić, Leonard R. Rubin
We present new, unified proofs for the cell-like, $\mathbb{Z}/p$-, and $\mathbb{Q}$-resolution theorems. Our arguments employ extensions that are much simpler then those used by our predecessors. The techniques allow us to solve problems involving co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e970877e2b49a2bd2b5459ef95b2808