Embedding Topological $n$-Manifolds into Compact Nonstandard Topological $n$-Manifolds with Boundary
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We show as a main message that there is a simple dimension-preserving way to openly and densely embed every topological manifold into a compact ``nonstandard'' topological manifold with boundary.This class of ``nonstandard'' topological manifolds with boundary contains the usual topological manifolds with boundary.In particular,the Alexandroff one-point compactification of every given topological $n$-manifold is a ``nonstandard'' topological $n$-manifold with boundary.
2010 ◽
Vol 53
(4)
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pp. 674-683
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1952 ◽
Vol 4
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pp. 329-342
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1973 ◽
Vol 8
(1)
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pp. 93-102
1996 ◽
Vol 16
(3)
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pp. 591-622
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1998 ◽
Vol 58
(2)
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pp. 233-237
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2020 ◽
pp. 228-232
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2018 ◽
Vol 115
(43)
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pp. 10861-10868
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