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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.

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2 results for “chainability”

Generalizations of Chainability and Compactness, and the Hypertopologiesmath.GT

Study generalizations of chainability and compactness in metric spaces.

problem Understanding new properties of subsets in metric spaces.

method Exploring and relating new properties of chainability and compactness to existing hypertopologies.

result Relations among Hausdorff, Vietoris, and locally finite hypertopologies established.

metric spaces chainability compactness hypertopologies

2023-01-18abs ↗pdf ↗

Characterizing chainable, tree-like, and circle-like continuamath.GN

We prove that a continuum $X$ is tree-like (resp. circle-like, chainable) if and only if for each open cover $\U_4=\{U_1,U_2,U_3,U_4\}$ of $X$ there is a $\U_4$-map $f:X\to Y$ onto a tree (resp. onto the circle, onto the interval). A continuum $X$ is an acyclic curve if and only if for each open cover $\U_3=\{U_1,U_2,U…

2010-03-28abs ↗pdf ↗