皆様、

「Matsuyama Seminar on Topology, Geometry, Set Theory and their
Applications」（松山TGSAセミナー）のお知らせです。

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第30回のセミナー

日時: 2017年4月19日（水） 16:30〜17:30

場所: 愛媛大学理学部2号館2階，大演習室 (201号室)

講演者: Alejandro Dorantes-Aldama (愛媛大学)

題目: Selective sequential pseudcompactness

概要： We say that a topological space $X$ is {\em selectively sequentially pseudcompact} if for every family $\{U_n:n\in\mathbb{N}\}$ of non-empty open subsets of $X$, one can choose a point $x_n\in U_n$ for each $n\in\mathbb{N}$ in such a way that the sequence $\{x_n:n\in \mathbb{N}\}$ has a convergent subsequence. We show that the class of selectively sequentially pseudcompact spaces is closed under arbitrary products and continuous images, contains the class of all dyadic spaces and forms a proper subclass of the class of strongly pseudocompact spaces introduced recently by Garc\'ia-Ferreira and Ortiz-Castillo. We prove, under the Singular Cardinal Hypothesis SCH, that if $G$ is an Abelian group admitting a pseudocompact group topology, then it can also be equipped with a selectively sequentially pseudcompact group topology. Since selectively sequentially pseudcompact spaces are strongly pseudocompact, this provides a strong positive answer to a question of Garc\'ia-Ferreira and Tomita. This is a joint work with Dmitri Shakhmatov.

講演終了後に交流会を予定しています。交流会にご参加いただける方はシャクマトフ<[email protected]>までご一報お願い致します。

以上、よろしくお願い申し上げます。


世話人（五十音順）
 井上友喜
 尾國新一
 シャクマトフ ディミトリ
 野倉嗣紀
 平出耕一
 平田浩一
 藤田博司
 山内貴光

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ウェブページ： http://www.math.sci.ehime-u.ac.jp/MTGSA.ja.html