Classification of flocks of the quadratic cone over fields of order at most 29.
Classification of hyperbolic dodecahedron tilings of maximally face-transitive motion groups. (Klassifikation der hyperbolischen Dodekaederpflasterungen von maximalen flächentransitiven Bewegungsgruppen.)
Classification of Maximal Optical Orthogonal Codes of Weight 3 and Small Lengths
Dedicated to the memory of the late professor Stefan Dodunekov on the occasion of his 70th anniversary. We classify up to multiplier equivalence maximal (v, 3, 1) optical orthogonal codes (OOCs) with v ≤ 61 and maximal (v, 3, 2, 1) OOCs with v ≤ 99. There is a one-to-one correspondence between maximal (v, 3, 1) OOCs, maximal cyclic binary constant weight codes of weight 3 and minimum dis tance 4, (v, 3; ⌊(v − 1)/6⌋) difference packings, and maximal (v, 3, 1) binary cyclically permutable constant...
Classification of pencils of conics of type VI in the isotropic plane. (Klassifikationstheorie der Kegelschnittbüschel vom Typ VI der isotropen Ebene.)
Classification of six-point metrics.
Classification of span-symmetric generalized quadrangles of order .
Classification of the Steiner quadruple systems of cardinality 32
Classifying homogeneous ultrametric spaces up to coarse equivalence
For every metric space X we introduce two cardinal characteristics and describing the capacity of balls in X. We prove that these cardinal characteristics are invariant under coarse equivalence, and that two ultrametric spaces X,Y are coarsely equivalent if . This implies that an ultrametric space X is coarsely equivalent to an isometrically homogeneous ultrametric space if and only if . Moreover, two isometrically homogeneous ultrametric spaces X,Y are coarsely equivalent if and only if ...
Clifford algebras, Möbius transformations, Vahlen matrices, and -loops
In this paper we show that well-known relationships connecting the Clifford algebra on negative euclidean space, Vahlen matrices, and Möbius transformations extend to connections with the Möbius loop or gyrogroup on the open unit ball in -dimensional euclidean space . One notable achievement is a compact, convenient formula for the Möbius loop operation , where the operations on the right are those arising from the Clifford algebra (a formula comparable to for the Möbius loop multiplication...
Closure conditions in the nets
Co je geometrie
Čo s nejednoznačným zadaním slovnej úlohy?
In the paper we deal with a task about two circles touching in a rectangle. The assignment of the task was formulated in a fuzzy way, so solvers understood it differently. We present extracts from the authentic solutions which reflect this phenomenon. We suggest an approach to such tasks, how to solve them and how to assess their solutions.
Coarse homotopy on metric spaces and their corona
This paper discusses properties of the Higson corona by means of a quotient on coarse ultrafilters on a proper metric space. We use this description to show that the corona functor is faithful and reflects isomorphisms.
Cobordism of automorphisms of surfaces
Codes and projective multisets.
Coherent euclidean geometry
Cohomology Theories In Synthetic Differential Geometry.
Coincidences of simplex centers and related facial structures.
Collars in PSL.
Collineation Groups of Finite Projective Planes Whose Sylow 2-Subgroups Contain at most Three Involutions.