Geodesic
Hereditarily Hurewicz spaces and Arhangel'skiĭ sheaf amalgamations
Journal of the European Mathematical Society, Tome 14 (2012) no. 2, pp. 353-372

Voir la notice de l'article provenant de la source EMS Press

A classical theorem of Hurewicz characterizes spaces with the Hurewicz covering property as those having bounded continuous images in the Baire space. We give a similar characterization for spaces X which have the Hurewicz property hereditarily.
DOI : 10.4171/jems/305
Classification : 37-XX, 03-XX, 26-XX, 00-XX
Keywords: Pointwise convergence, point-cofinite covers, α1​, eventual dominance, Hurewicz property, selection principles, QN sets, ideal convergence 
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     author = {Boaz Tsaban and Lyubomyr Zdomskyy},
     title = {Hereditarily {Hurewicz} spaces and {Arhangel'ski\u{i}} sheaf amalgamations},
     journal = {Journal of the European Mathematical Society},
     pages = {353--372},
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Boaz Tsaban; Lyubomyr Zdomskyy. Hereditarily Hurewicz spaces and Arhangel'skiĭ sheaf amalgamations. Journal of the European Mathematical Society, Tome 14 (2012) no. 2, pp. 353-372. doi: 10.4171/jems/305

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