Planar surfaces in three-manifolds.
Sbrodova, E.A. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Sbrodova, E.A. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Neda Bokan (2003)
Kragujevac Journal of Mathematics
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Borzellino, Joseph E., Brunsden, Victor (2003)
Journal of Lie Theory
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Karol Pąk (2014)
Formalized Mathematics
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In this article we focus on a special case of the Brouwer invariance of domain theorem. Let us A, B be a subsets of εn, and f : A → B be a homeomorphic. We prove that, if A is closed then f transform the boundary of A to the boundary of B; and if B is closed then f transform the interior of A to the interior of B. These two cases are sufficient to prove the topological invariance of dimension, which is used to prove basic properties of the n-dimensional manifolds, and also to prove basic...
Deborah Olayide A. Ajayi (2010)
Kragujevac Journal of Mathematics
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Pier Luigi Papini (2004)
Extracta Mathematicae
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Gouli-Andreou, Florence, Tsolakidou, Niki (2004)
Beiträge zur Algebra und Geometrie
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Jiří Jelínek (1999)
Commentationes Mathematicae Universitatis Carolinae
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A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.