Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Harold Bennett"'
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
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
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
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.
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
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
Publikováno v:
Fundamenta Mathematicae. 216:147-161
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).
Autor:
Harold Bennett, David Lutzer
Publikováno v:
Fundamenta Mathematicae. 200:185-199
Publikováno v:
Topology and its Applications. 155(5):445-458
In this paper we investigate the role of domain representability and Scott-domain representability in the class of Moore spaces and the larger class of spaces with a base of countable order. We show, for example, that in a Moore space, the following