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No hedgehog in the product?

Petr Simon, Gino Tironi (2002)

Commentationes Mathematicae Universitatis Carolinae

Assuming OCA, we shall prove that for some pairs of Fréchet α 4 -spaces X , Y , the Fréchetness of the product X × Y implies that X × Y is α 4 . Assuming MA, we shall construct a pair of spaces satisfying the assumptions of the theorem.

Normal subspaces in products of two ordinals

Nobuyuki Kemoto, Tsugunori Nogura, Kerry Smith, Yukinobu Yajima (1996)

Fundamenta Mathematicae

Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of ( λ + 1 ) 2 .

Notes on monotone Lindelöf property

Ai-Jun Xu, Wei-Xue Shi (2009)

Czechoslovak Mathematical Journal

We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.

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