Geodesic
On a problem of Nogura about the product of Fréchet-Urysohn $\langle \alpha_4\rangle$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 537-549 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Assuming Martin's Axiom, we provide an example of two Fréchet-Urysohn $\langle\alpha_4\rangle$-spaces, whose product is a non-Fréchet-Urysohn $\langle\alpha_4\rangle$-space. This gives a consistent negative answer to a question raised by T. Nogura.
Assuming Martin's Axiom, we provide an example of two Fréchet-Urysohn $\langle\alpha_4\rangle$-spaces, whose product is a non-Fréchet-Urysohn $\langle\alpha_4\rangle$-space. This gives a consistent negative answer to a question raised by T. Nogura.
Classification : 03E50, 54A20, 54A35, 54B10, 54D55, 54D80, 54G15, 54G20
Keywords: Fréchet-Urysohn space; $\langle\alpha_4\rangle$-space; Martin's Axiom; almost disjoint functions; double iterated power 
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     title = {On a problem of {Nogura} about the product of {Fr\'echet-Urysohn} $\langle \alpha_4\rangle$-spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {537--549},
     year = {1999},
     volume = {40},
     number = {3},
     mrnumber = {1732482},
     zbl = {1010.54041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_3_a12/}
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Costantini, Camillo. On a problem of Nogura about the product of Fréchet-Urysohn $\langle \alpha_4\rangle$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 537-549. http://geodesic.mathdoc.fr/item/CMUC_1999_40_3_a12/