Geodesic
Free Locally Convex Spaces and the k-space Property
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 803-809

Voir la notice de l'article provenant de la source Cambridge University Press

Let $L\left( X \right)$ be the free locally convex space over a Tychonoff space $X$ . Then $L\left( X \right)$ is a $k$ -space if and only if $X$ is a countable discrete space. We prove also that $L\left( D \right)$ has uncountable tightness for every uncountable discrete space $D$ .
DOI : 10.4153/CMB-2014-019-7
Mots-clés : 46A03, 54D50, 54A25, free locally convex space, k-space, countable tightness 
Gabriyelyan, S. S. Free Locally Convex Spaces and the k-space Property. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 803-809. doi: 10.4153/CMB-2014-019-7
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