A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Study of non-metrizable manifolds' ends, generalizing Nyikos's theorem.
We investigate the problem of describing the homotopy classes of continuous functions between -bounded non metrizable manifolds . We define a family of surfaces built with the first octant in ( is the longline and the longray), and show that is in bijection with so called `a…
The paper explores non-metrizability of projective deformations of Finsler sprays.
We show that the Prüfer surface, which is a separable non-metrizable 2-manifold, has not the homotopy type of a CW-complex. This will follow easily from J. H. C. Whitehead's result: if one has a good approximation of an arbitrary space by a CW-complex, which fails to be a homotopy equivalence, then the given space is n…
Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing torsion as an independent degree of freedom. In this article we examine the effects of torsion on the affine Killing vectors of two-dimensional…
PhD dissertation on Finsler geometry and gravity, focusing on Berwald spaces and exact solutions.
Study on median algebra structures on Euclidean spaces and manifolds with local CAT(0) cubulation.
New manifold construction yields Baire-1 functions as cohomotopy groups.
New findings show Berwald Finsler spacetimes cannot be metrized.