Spaces in which sequences suffice II
S. Franklin (1967)
Fundamenta Mathematicae
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S. Franklin (1967)
Fundamenta Mathematicae
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Saliou Sitou (1999)
Mathematica Slovaca
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Koinac, Ljubia (1998)
Serdica Mathematical Journal
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∗ Supported by the Serbian Scientific Foundation, grant No 04M01 We consider some relations between p-sequential-like properties and cleavability of topological spaces. Under a special assumption we give an very easy proof of the following result of A.V. Arhangel’skii (the main result in [1]): if a (countably) compact space X is cleavable over the class of sequential spaces, then X is also sequential.
S. Franklin (1965)
Fundamenta Mathematicae
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John A. Bather (1985)
Banach Center Publications
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Paul R. Meyer (1971)
Colloquium Mathematicae
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V. Kannan (1980)
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Roman Frič (1993)
Mathematica Bohemica
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We investigate free groups over sequential spaces. In particular, we show that the free -group and the free sequential group over a sequential space with unique limits coincide and, barred the trivial case, their sequential order is .