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Embeddings of infinite-dimensional manifold pairs and remarks on stability and deficiency
Sakai, Katsuro
open access
In this paper, we treat of an E-manifold pair (M, N) with N a Z-set in M where E is an infinite-dimensional locally convex linear metric space which is homeomorphic to Eω or E∈N. And we study the condition under which M can be embedded in E such that N is the topological boundary under the embedding (Anderson's Problem in [2]). Moreover we extend the results on topological stability and deficiency, the Homeomorphism Extension Theorem and the results in [18].
1979
1979
jpn
doctoral thesis
http://hdl.handle.net/2241/6838
https://tsukuba.repo.nii.ac.jp/records/8366
https://www.tulips.tsukuba.ac.jp/opac/volume/510241
本文はOPACにあり
乙第20号
博士(理学)
Doctor of Philosophy in Science
1979-10-31
12102
筑波大学
University of Tsukuba
https://tsukuba.repo.nii.ac.jp/record/8366/files/B0020.pdf
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2013-12-18