Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Holshouser, Jared"'
Autor:
Gilton, Thomas, Holshouser, Jared
In this paper we show that forcings which are strongly proper for stationarily many countable elementary submodels preserve each of the following properties of topological spaces: countably tight; Lindel\"of; Rothberger; Menger; and a strategic versi
Externí odkaz:
http://arxiv.org/abs/2408.02495
We present a comprehensive report on the relationships between variations of the Menger and Rothberger selection properties with respect to $\omega$-covers and $k$-covers in the most general topological setting and address the finite productivity of
Externí odkaz:
http://arxiv.org/abs/2403.19789
We establish relationships between various topological selection games involving the space of minimal cusco maps into the real line and the underlying domain. These connections occur across different topologies, including the topology of pointwise co
Externí odkaz:
http://arxiv.org/abs/2306.09460
We continue to explore the ways in which high-level topological connections arise from connections between fundamental features of the spaces, in this case focusing on star-selection principles in Pixley-Roy hyperspaces and uniform spaces. First, we
Externí odkaz:
http://arxiv.org/abs/2210.00329
Publikováno v:
In Topology and its Applications 1 May 2024 348
We explore the connections between selection games on Hausdorff spaces and their corresponding Vietoris space of compact subsets. These considerations offer a similar relationship as the well-known relationship between $\omega$-covers of $X$ and regu
Externí odkaz:
http://arxiv.org/abs/2102.00296
In this paper we connect selection principles on a topological space to corresponding selection principles on one of its hyperspaces. We unify techniques and generalize theorems from the known results about selection principles for common hyperspace
Externí odkaz:
http://arxiv.org/abs/2012.06668
In this paper we study the selection principle of closed discrete selection, first researched by Tkachuk in [13] and strengthened by Clontz, Holshouser in [3], in set-open topologies on the space of continuous real-valued functions. Adapting the tech
Externí odkaz:
http://arxiv.org/abs/1910.02476
Autor:
Holshouser, Jared
In this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combinations. This work is done under the scope of the axiom of determinacy. We also explore generalizations of Mycielski's theorem and show how these can b
Externí odkaz:
https://digital.library.unt.edu/ark:/67531/metadc984121/
Publikováno v:
Topology Proceedings 56 (2020) pp. 25-55
In 2017, Tkachuk isolated the closed discrete selection property while working on problems related to function spaces [15]. In this paper we will study the closed discrete selection property and the related games and strategies on $C_k(X)$. Clontz an
Externí odkaz:
http://arxiv.org/abs/1812.06379