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arXiv research

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.

169,051 papers · 148 categories

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0111 · Nov 201819922001200920182026
2 results for “Alexandroff-Hopf-Whitehead”
Hyperconnected Relator Spaces. CW Complexes and Continuous Function Paths that are Hyperconnectedmath.GT

The article defines hyperconnected relator spaces and their properties.

problem Understanding the nearness of path-connected sub-complexes in CW spaces.
method Introduces hyperconnectedness and applies it to CW complexes and continuous functions.
result Existence of continuous functions that are paths in hyperconnected relator spaces.
hyperconnectednessCW complexescontinuous functionspath-connected sub-complexesAlexandroff-Hopf-Whitehead
2018-11-24abs ↗pdf ↗
Ribbon Complexes & their Approximate Descriptive Proximities. Ribbon & Vortex Nerves, Betti Numbers and Planar Divisionsmath.GT

This paper defines ribbons and ribbon complexes in CW spaces and analyzes their topological properties.

problem Characterizing and analyzing topological structures in CW spaces.
method Introducing planar ribbons, ribbon complexes, and ribbon nerves in Alexandroff-Hopf-Whitehead CW spaces, and studying their topological properties.
result Characterization of ribbons and ribbon nerves by Betti numbers and homotopy types.
CW spacesplanar ribbonsribbon complexesBetti numbershomotopy types
2019-11-20abs ↗pdf ↗