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Kyungpook Mathematical Journal
- Volume 49 Issue 4
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- Pages.725-729
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- 2009
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
DOI QR Code
Embedding in a Direct Limit
- Rubin, Leonard Roy (Department of Mathematics, University of Oklahoma)
- Received : 2008.11.13
- Accepted : 2009.03.10
- Published : 2009.12.31
Abstract
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.
Keywords
- closed embedding;
- cofinite;
- direct limit;
- direct spectrum;
- direct system;
- directed set;
- embedding conditions