Bisectors in Minkowski 3-space.
Horváth, Á.G. (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Horváth, Á.G. (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Karol Pąk (2014)
Formalized Mathematics
Similarity:
In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
Sehie Park, Jong Park (1996)
Colloquium Mathematicae
Similarity:
Karol Pąk (2014)
Formalized Mathematics
Similarity:
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...
Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
Similarity:
Martini, Horst, Wenzel, Walter (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Carlos Borges (1991)
Colloquium Mathematicae
Similarity:
Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
Similarity:
Jürgen Kindler (1995)
Colloquium Mathematicae
Similarity:
A minimax theorem is proved which contains a recent result of Pinelis and a version of the classical minimax theorem of Ky Fan as special cases. Some applications to the theory of convex metric spaces (farthest points, rendez-vous value) are presented.
Hästö, Peter, Ibragimov, Zair (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Bezdek, Károly, Connelly, Robert, Csikós, Balázs (2006)
Beiträge zur Algebra und Geometrie
Similarity: