EuDML | Browse

We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.

An upper bound for a sequence of cevian inequalities.

Roland H. Eddy (1986)

Elemente der Mathematik

Angle-preserving transformations of spheres.

J.A. Lester (1987)

Aequationes mathematicae

Application de la généralisation du principe de correspondance à la théorie de l'élimination

Louis Saltel (1873)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Approximation eines Evolventenstücks durch ein Kreisbogenstück

E. Buchsteiner-Kießling, H.-J. Schäler (1985)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

B. Pivot theorems in n-space

A.O. KONNULLY (1980)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Bounds for quaternionic line systems and reflection groups.

S.G. Hoggar (1978)

Mathematica Scandinavica

Certain inequalities concerning bicentric quadrilaterals, hexagons and octagons.

Radić, Mirko (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Coincidences of simplex centers and related facial structures.

Edmonds, Allan L., Hajja, Mowaffaq, Martini, Horst (2005)

Beiträge zur Algebra und Geometrie

Concerning the order and the semi-order of n-dimensional Euclidean space

Wanda Szmielew (1980)

Fundamenta Mathematicae

Countably convex $G_{δ}$ sets

Vladimir Fonf, Menachem Kojman (2001)

Fundamenta Mathematicae

We investigate countably convex $G_{δ}$ subsets of Banach spaces. A subset of a linear space is countably convex if it can be represented as a countable union of convex sets. A known sufficient condition for countable convexity of an arbitrary subset of a separable normed space is that it does not contain a semi-clique [9]. A semi-clique in a set S is a subset P ⊆ S so that for every x ∈ P and open neighborhood u of x there exists a finite set X ⊆ P ∩ u such that conv(X) ⊈ S. For closed sets this condition...

Currently displaying 1 – 20 of 135

Page 1 Next