Zobrazeno 1 - 10
of 75
pro vyhledávání: '"David Lutzer"'
Autor:
Harold Bennet, David Lutzer
Publikováno v:
Applied General Topology, Vol 9, Iss 2, Pp 281-292 (2008)
In this paper we show that a variation of a technique of Miskin and Tall yields a cocompact completely regular Moore space that is Scott-domain-representable and has a closed Gδ-subspace that is not Scott-domain-representable. This clarifies the gen
Externí odkaz:
https://doaj.org/article/80c28e09572b4086b504e12c4f37e5c0
Autor:
David Lutzer, Harold Bennett
Publikováno v:
Rocky Mountain J. Math. 50, no. 6 (2020), 1989-2000
In this expository paper, we show how the pressing down lemma and Ulam matrices can be used to study the topology of subsets of [math] . We prove, for example, that if [math] and [math] are stationary subsets of [math] with [math] stationary, then [m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dd277cebaf67e778c90dc9c3a305171
https://projecteuclid.org/euclid.rmjm/1609815801
https://projecteuclid.org/euclid.rmjm/1609815801
Autor:
David Lutzer, Gary Gruenhage
Publikováno v:
Fundamenta Mathematicae. 240:175-197
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ba0895751530432193b4a6a4b70d105
https://doi.org/10.4064/fm343-1-2017
https://doi.org/10.4064/fm343-1-2017
Publikováno v:
Topology and its Applications. 221:610-623
We study spaces that are continuous images of the usual space [ 0 , ω 1 ) of countable ordinals. We begin by showing that if Y is such a space and is T 3 then Y has a monotonically normal compactification, and is monotonically normal, locally compac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcc071db11dcfe20b55943805b7d2be3
https://doi.org/10.1016/j.topol.2017.02.067
https://doi.org/10.1016/j.topol.2017.02.067
Autor:
Harold Bennett, David Lutzer
Publikováno v:
Topology and its Applications. 197:21-27
In this paper we use Mary Ellen Rudin's solution of Nikiel's problem to investigate metrizability of certain subsets of compact monotonically normal spaces. We prove that if H is a semi-stratifiable space that can be covered by a σ-locally-finite co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4b59e9a6b168ecca1e46de4b5133d70
https://doi.org/10.1016/j.topol.2015.10.005
https://doi.org/10.1016/j.topol.2015.10.005
Autor:
David Lutzer, Harold Bennett
Publikováno v:
Topology and its Applications. 195:50-62
This paper focuses on the remarkable contributions that Mary Ellen Rudin made to the study of monotonically normal spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71f01b7bc6e229a40f2de3e5f7e9ad28
https://doi.org/10.1016/j.topol.2015.09.021
https://doi.org/10.1016/j.topol.2015.09.021
Publikováno v:
Topology and its Applications. 160:633-647
In this paper we investigate generalized ordered (GO) spaces that have a flexible diagonal in the sense of Arhangelʼskii (2009) [2] . Spaces with a flexible diagonal are generalizations of topological groups and include spaces that are continuously
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f624a7b78b8e79dea6585a42c4eb9397
https://doi.org/10.1016/j.topol.2013.01.009
https://doi.org/10.1016/j.topol.2013.01.009
Autor:
David Lutzer, Harold Bennett
Publikováno v:
Fundamenta Mathematicae. 223:273-294
In this paper we examine the Gruenhage property, property * (introduced by Orihuela, Smith, and Troyanski), fragmentability, and the existence of -isolated networks in the context of linearly ordered topological spaces (LOTS), generalized ordered spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb0fb0e170131c7660b5b0aa30e5d72b
https://doi.org/10.4064/fm223-3-4
https://doi.org/10.4064/fm223-3-4
Publikováno v:
Fundamenta Mathematicae. 216:147-161
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::854b24b888d40b6ed0e7feba69154980
https://doi.org/10.4064/fm216-2-5
https://doi.org/10.4064/fm216-2-5
Autor:
Harold Bennett, David Lutzer
Publikováno v:
Canadian Mathematical Bulletin. 54:193-206
In this paper we study domains, Scott domains, and the existence of measurements. We use a space created by D. K. Burke to show that there is a Scott domain P for which max(P) is a Gδ-subset of P and yet no measurement μ on P has ker(μ) = max(P).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5787496e66b4a8616bfab25355605ea4
https://doi.org/10.4153/cmb-2010-104-3
https://doi.org/10.4153/cmb-2010-104-3