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Questions of the kind "What's the name for a X that satisfies property Y?"

3 votes
1 answer
254 views

Terminology for a type of smooth foliation

The third condition restricts to considering homotopies between maps that fixes the boundary $\partial\Sigma$ (Is there a commonly used terminology for this condition alone?) … If I add some further analytic conditions on it, and abuse terminology a little bit, I can call it a development a la PDE theory. …
Willie Wong's user avatar
  • 39.1k
3 votes
0 answers
73 views

Equivalence relation induced by Kolmogorov quotients

I have two loosely related terminology questions: Is it okay to use the word "section" to refer to a mapping (and/or the image of such a mapping) $\gamma: KX \to X$ such that $\pi\circ \gamma = id$? … (This would be the word from category theory, just wondering if there is another established terminology that is used.) …
Willie Wong's user avatar
  • 39.1k
5 votes
1 answer
198 views

Generalisation of "tangent space" to not-necessarily connected sets

I vaguely recall having read somewhere a definition similar to (but probably not exactly the same as) the following. Definition (Blob) Let $S\subset \mathbb{R}^n$ be a set, and $p \in S$. The Blo …
Willie Wong's user avatar
  • 39.1k
4 votes
1 answer
231 views

Name of a Frobenius-like method for ODEs

Mike McNulty, who is a postdoc working with me, showed me the following trick for looking at asymptotic behavior of ODEs near singular points that he found; my question: does it have a well-known name …
Willie Wong's user avatar
  • 39.1k
34 votes
1 answer
5k views

What are "variational crimes" and who coined the term?

I just caught sight on arXiv a paper by Holst and Stern titled Geometric Variational Crimes. Apparently a Variational Crime is an approach to solve problems using a finite element method (e.g. Galerki …
Willie Wong's user avatar
  • 39.1k