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<p>$B$3$s$K$A$O!#0&I2Bg3X$NF#ED$G$9!#(B</p>
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<p>$BF#ED(B $BGn;J(B <fujita.hiroshi.mh@ehime-u.ac.jp></p>
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<div id="x_divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" color="#000000" style="font-size:11pt"><b>$B:9=P?M(B:</b> Dmitri SHAKHMATOV <dmitri.shakhmatov@dmitri.math.sci.ehime-u.ac.jp><br>
<b>$BAw?.F|;~(B:</b> 2017$BG/(B4$B7n(B11$BF|(B 10:55<br>
<b>$B08@h(B:</b> FUJITA Hiroshi<br>
<b>CC:</b> dmitri.shakhmatov@dmitri.math.sci.ehime-u.ac.jp<br>
<b>$B7oL>(B:</b> $B>>;3(B TGSA$B%;%_%J!<$N$*CN$i$;!J#47n#1#9F|!K(B </font>
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<div class="PlainText">$B3'MM!"(B<br>
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$B!V(BMatsuyama Seminar on Topology, Geometry, Set Theory and their<br>
Applications$B!W!J>>;3(BTGSA$B%;%_%J!<!K$N$*CN$i$;$G$9!#(B<br>
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$BBh(B30$B2s$N%;%_%J!<(B<br>
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$BF|;~(B: 2017$BG/(B4$B7n(B19$BF|!J?e!K(B 16:30$B!A(B17:30<br>
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$B>l=j(B: $B0&I2Bg3XM}3XIt(B2$B9f4[(B2$B3,!$Bg1i=,<<(B (201$B9f<<(B)<br>
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$B9V1i<T(B: Alejandro Dorantes-Aldama ($B0&I2Bg3X(B)<br>
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$BBjL\(B: Selective sequential pseudcompactness<br>
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$B35MW!'(B 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.<br>
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