On a problem of Nogura about the product of Fréchet-Urysohn $\langle \alpha _4\rangle $-spaces

Camillo Costantini

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Displaying similar documents to “On a problem of Nogura about the product of Fréchet-Urysohn $〈 α_{4} 〉$ -spaces”

No hedgehog in the product?

Petr Simon, Gino Tironi (2002)

Commentationes Mathematicae Universitatis Carolinae

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Assuming OCA, we shall prove that for some pairs of Fréchet $α_{4}$ -spaces $X, Y$ , the Fréchetness of the product $X \times Y$ implies that $X \times Y$ is $α_{4}$ . Assuming MA, we shall construct a pair of spaces satisfying the assumptions of the theorem.

Fréchet property in compact spaces is not preserved by $M$ -equivalence

Oleg Okunev (2005)

Commentationes Mathematicae Universitatis Carolinae

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An example of two $M$ -equivalent (hence $l$ -equivalent) compact spaces is presented, one of which is Fréchet and the other is not.

Displaying similar documents to “On a problem of Nogura about the product of Fréchet-Urysohn 〈 α 4 〉 -spaces”

No hedgehog in the product?

Fréchet property in compact spaces is not preserved by M -equivalence

Displaying similar documents to “On a problem of Nogura about the product of Fréchet-Urysohn $〈 α_{4} 〉$ -spaces”

Fréchet property in compact spaces is not preserved by $M$ -equivalence