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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

**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)

Please see https://sites.google.com/view/auburntopologyconference2017

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).

**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