On the Components of the Push-out Space with Certain Indices
Yusuf Kaya (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “The C 1 generic diffeomorphism has trivial centralizer”
On the Components of the Push-out Space with Certain Indices
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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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The aim of the paper is to define a k-cosymplectic structure on the standard k-cosymplectic manifold associated to a regular Lagrangian and to reduce it via Marsden-Weinstein reduction.