Generalization of Hashiguchi-Ichijyō's theorems to Wagner-type manifolds.
Rezaii, M.M., Barzegari, M. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Rezaii, M.M., Barzegari, M. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
Absos Ali Shaikh, Shyamal Kumar Hui (2011)
Publications de l'Institut Mathématique
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Electronic Research Announcements of the American Mathematical Society [electronic only]
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Beiträge zur Algebra und Geometrie
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