Characterizing infinite dimensional manifolds topologically
Robert D. Edwards (1978-1979)
Séminaire Bourbaki
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Robert D. Edwards (1978-1979)
Séminaire Bourbaki
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Katsuro Sakai (1996)
Compositio Mathematica
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S. Singh (1985)
Fundamenta Mathematicae
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C. Bruce Hughes (1985)
Compositio Mathematica
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Katsuro Sakai (1992)
Compositio Mathematica
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Doyle, P.H. (1972)
Portugaliae 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...
Katsuro Sakai (1978)
Fundamenta Mathematicae
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James Cannon, David Wright (1980)
Fundamenta Mathematicae
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