- Volume 49 Issue 4
Let X be a direct system of topological spaces and X its direct limit. We show that under certain conditions the direct limit of a "subsystem" of X embeds in a canonical way as a closed subspace of X.
closed embedding;cofinite;direct limit;direct spectrum;direct system;directed set;embedding conditions
- J. Dugundji, Topology, Allyn and Bacon, Inc., Boston, 1968.
- S. Mardesic and L. Rubin, A note on extension theory and direct limits, to appear in Publicationes Debrecen.