On manifolds and r-spaces.
A. Kosiński (1955)
Fundamenta Mathematicae
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A. Kosiński (1955)
Fundamenta Mathematicae
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Katsuro Sakai (1978)
Fundamenta Mathematicae
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S. Singh (1981)
Fundamenta Mathematicae
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Doyle, P.H. (1972)
Portugaliae mathematica
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S. Singh (1985)
Fundamenta Mathematicae
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Katsuro Sakai (1988)
Colloquium Mathematicae
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Joan Girbau, Marcel Nicolau (1979)
Collectanea Mathematica
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Taras Banakh, Robert Cauty (2007)
Banach Center Publications
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We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and...
Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee (2009)
Colloquium Mathematicae
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A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.
Nelly Kroonenberg (1976)
Compositio Mathematica
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Nicholaas H. Kuiper (1967)
Publications Mathématiques de l'IHÉS
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