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# Topology - Set-Theoretic

DMS Set Theoretic Topology Seminar
Jan 17, 2018 03:00 PM
Parker hall 224

Speaker: Gary Gruenhage

Topic: A few years ago a researcher in theoretical computer science asked me a question involving the sequential property in (non-Hausdorff) topological spaces.   I will present the example I constructed to answer his question.

DMS Set Theoretic Topology Seminar
Nov 06, 2017 04:00 PM
Parker Hall 224

Hongfeng will continue

Title: The D-property of t-metrizable spaces and their finite unions

Abstract: The main results are the following:
1. A t-metrizable space is a D-space.
2. If a space of countable tightness can be written as the union of finite t-metrizable subspaces, then it is a D-space.

DMS Set Theoretic Topology Seminar
Oct 30, 2017 04:00 PM
Parker Hall 224

Speaker: Hongfeng Guo

Title: The D-property of t-metrizable spaces and their finite unions.

Abstract: The main results are the following:

1. A t-metrizable space is a D-space.

2. If a space of countable tightness can be written as the union of finite t-metrizable subspaces, then it is a D-space.

DMS special conference in set-theoretic topology, which is in honor of Professor Gary Gruenhage’s 70th birthday
Oct 20, 2017 01:20 PM
Haley Center 1403 (Fri) Parker Hall 249 (Sat-Sun)

for all details

DMS Set Theoretic Topology Seminar
Oct 15, 2017 04:00 PM
Parker Hall 224

Ziqin will continue.

Title: Spaces with -dominated diagonal

Abstract:  A space is dominated by if there is a -directed compact cover, where is the set of compact subsets of the space .   We will show that, under , a compact space with a -dominated diagonal is metrizable (where is the space of rational numbers).

DMS Set Theoretic Topology Seminar
Oct 09, 2017 04:00 PM
Parker Hall 224

Ziqin will continue.

Title: Spaces with $$\mathbb{Q}$$-dominated diagonal

Abstract:  A space is dominated by $$M$$ if there is a $$\mathcal{K}(M)$$-directed compact cover, where $$\mathcal{K}(M)$$ is the set of compact subsets of the space $$M$$.   We will show that, under $$\mathfrak{b}>\omega_1$$, a compact space with a $$\mathbb{Q}$$-dominated diagonal is metrizable (where $$\mathbb{Q}$$ is the space of rational numbers).

DMS Set Theoretic Topology Seminar
Sep 25, 2017 04:00 PM
Parker Hall 224

Speaker: Ziqin Feng will continue at 4 (NOTE THE TIME CHANGE!).

Title: Spaces with $$\mathbb{Q}$$-dominated diagonal

DMS Set Theoretic Topology Seminar
Sep 18, 2017 03:00 PM
Parker Hall 224

Speaker: Ziqin Feng ﻿continues

Title: Spaces with $$\mathbb{Q}$$-dominated diagonal

Abstract:  A space is dominated by $$M$$ if there is a $$\mathcal{K}(M)$$-directed compact cover, where $$\mathcal{K}(M)$$ is the set of compact subsets of the space $$M$$.   We will show that, under $$\mathfrak{b}>\omega_1$$, a compact space with a $$\mathbb{Q}$$-dominated diagonal is metrizable (where $$\mathbb{Q}$$ is the space of rational numbers).

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DMS Set Theoretic Topology Seminar
Aug 28, 2017 03:00 PM
Parker Hall 224

Speaker: Ziqin Feng

Title: Spaces with $$\mathbb{Q}$$-dominated diagonal

Abstract:  A space is dominated by $$M$$ if there is a $$\mathcal{K}(M)$$-directed compact cover, where $$\mathcal{K}(M)$$ is the set of compact subsets of the space $$M$$.   We will show that, under $$\mathfrak{b}>\omega_1$$, a compact space with a $$\mathbb{Q}$$-dominated diagonal is metrizable (where $$\mathbb{Q}$$ is the space of rational numbers).

Set Theoretic Topology Seminar
Apr 24, 2017 04:00 PM
Parker Hall 228

Joel Alberto Aguilar

Title: On Dense subspaces of countable pseudocharacter in function spaces (II)

Abstract: A space is $\psi$-separable if it has a dense subspace with countable pseudocharacter. We are going to prove that if $X$ is an infinite space and there exists a subspace with countable pseudocharacter $T\subset X\times X$ and $|T|\geq iw(X)$, then $C_{p}(X)$ is $\psi$-separable. We are also going to give an improvement on the fact that if $X$ is Corson compact, then $C_{p}(X)$ has a dense $\sigma$-discrete subpace.

This will be our last set-theoretic seminar for this semester.

Last Updated: 09/11/2015