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Topology - Set-Theoretic


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)


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.


Set Theoretic Topology Seminar
Apr 17, 2017 04:00 PM
Parker Hall 228


Speaker: 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.

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Last Updated: 09/11/2015