Simplicial Complexes and Open Subsets of Non-Separable LF-Spaces
2011 ◽
Vol 63
(2)
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pp. 436-459
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Keyword(s):
Open Set
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Abstract Let F be a non-separable LF-space homeomorphic to the direct sum , where . It is proved that every open subset U of F is homeomorphic to the product |K| × F for some locally finite-dimensional simplicial complex K such that every vertex v ∈ K(0) has the star St(v, K) with card St(v, K)(0) < 𝒯 = sup 𝒯n (and card K(0) ≤ 𝒯 ), and, conversely, if K is such a simplicial complex, then the product |K| × F can be embedded in F as an open set, where |K| is the polyhedron of K with the metric topology.
2012 ◽
Vol 55
(1)
◽
pp. 157-163
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Keyword(s):
Keyword(s):
2013 ◽
Vol 56
(2)
◽
pp. 381-386
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Keyword(s):
Keyword(s):
2019 ◽
Vol 28
(14)
◽
pp. 1944006
2013 ◽
Vol 89
(2)
◽
pp. 234-242
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Keyword(s):