Talk:Varifold

approximate tangent space of \Omega ? -- and more

The text "in the approximate tangent space of the set $\Omega$." is confused. $\Omega$ is an open set, so the word "approximate" should be removed.

Approximate tangents are important in connection to rectifiable varifolds (which is a subclass of varifolds), and probably need to be mentioned later when $\Gamma_{M,A}$ is defined.

There might be more unpreciseness in the article, like that "there is no boundary operator": There is a first variation which very well stands for what boundary would be.

90.180.192.165 (talk) 00:47, 23 December 2012 (UTC)

Examples? Applications?

This article is very good, but would also be significantly improved by the inclusion of some concrete examples and some applications of the concept.50.205.142.50 (talk) 14:45, 14 July 2020 (UTC)

Boundary operator

This article is helpful, but I think the sentence about there being no boundary operator should be removed -- not only because there seem to be definitions of boundary operators for varifolds which seem reasonable, but also because nonorientability isn't a barrier to defining boundary operators in traditional topology, in either the manifold-with-boundary sense or in the simplicial/singular chain sense (e.g. a Mobius strip is nonorientable but few would argue that it doesn't have boundary homeomorphic to a circle, and traditional notions of boundary operators on chains certainly hold over nonorientable spaces like RP^2). 2603:8001:8EF0:7EA0:8935:E38A:41C8:2D45 (talk) 22:39, 20 May 2023 (UTC)