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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Displaying similar documents to “A mapping theorem for infinite-dimensional manifolds and its generalizations”
Generalization of Hashiguchi-Ichijyō's theorems to Wagner-type manifolds.
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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...
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