Disconnected bounded $PL$ manifolds in Euclidean spaces

Ivanšić, I.

Displaying similar documents to “Disconnected bounded $P L$ manifolds in Euclidean spaces”

Planar normal sections on the natural embedding of a real flag manifold.

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Katsuro Sakai (1978)

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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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On the topological structure of compact 5-manifolds

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We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let $M$ be a closed connected orientable smooth $5$ -manifold with free fundamental group. Then we prove that the number of distinct smooth $5$ -manifolds homotopy equivalent to $M$ equals the $2$ -nd Betti number (mod $2$ ) of $M$ .

Displaying similar documents to “Disconnected bounded P L manifolds in Euclidean spaces”

Displaying similar documents to “Disconnected bounded $P L$ manifolds in Euclidean spaces”