A corrigendum to the paper “Connecting direct limit topologies with metrics on infinite-dimensional manifolds”

Katsuro Sakai

Displaying similar documents to “A corrigendum to the paper “Connecting direct limit topologies with metrics on infinite-dimensional manifolds””

Presentations of the fundamental group of a manifold

B. Hajduk (1976)

Colloquium Mathematicae

Similarity:

Connecting direct limit topologies with metrics on infinite-dimensional manifolds

Katsuro Sakai (1992)

Compositio Mathematica

Similarity:

Generalization of Hashiguchi-Ichijyō's theorems to Wagner-type manifolds.

Rezaii, M.M., Barzegari, M. (2006)

Balkan Journal of Geometry and its Applications (BJGA)

Similarity:

Bicollared n-manifold in Euclidean space

P. H. Doyle (1974)

Colloquium Mathematicae

Similarity:

A homological selection theorem implying a division theorem for Q-manifolds

Taras Banakh, Robert Cauty (2007)

Banach Center Publications

Similarity:

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...