Ak singularity

id: ak-singularity-302-6134559
title: Ak singularity
text: In mathematics, and in particular singularity theory, an Ak singularity, where k ≥ 0 is an integer, describes a level of degeneracy of a function. The notation was introduced by V. I. Arnold. Let f : R n → R be a smooth function. We denote by Ω the infinite-dimensional space of all such functions. Let diff ⁡ denote the infinite-dimensional Lie group of diffeomorphisms R n → R n , and diff ⁡ the infinite-dimensional Lie group of diffeomorphisms R → R . The product group diff ⁡ × diff ⁡ acts on Ω
brand slug: wiki
category slug: encyclopedia
description: Description of the degeneracy of a function
original url: https://en.wikipedia.org/wiki/Ak_singularity
date created:
date modified: 2022-12-01T19:11:28Z
main entity: {"identifier":"Q4700045","url":"https://www.wikidata.org/entity/Q4700045"}
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fields total: 13
integrity: 14

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