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approximate tangent space of \Omega ? -- and more

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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)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2012-12-23T00:47:00.000Z","author":"90.180.192.165","type":"comment","level":1,"id":"c-90.180.192.165-2012-12-23T00:47:00.000Z-approximate_tangent_space_of_\\Omega_?_--_and_more","replies":[]}}-->

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Examples? Applications?

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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)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"2020-07-14T14:45:00.000Z","author":"50.205.142.50","type":"comment","level":1,"id":"c-50.205.142.50-2020-07-14T14:45:00.000Z-Examples?_Applications?","replies":[]}}-->

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Boundary operator

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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)[reply]__DTELLIPSISBUTTON__{"threadItem":{"timestamp":"20230520223900","author":"2603:8001:8EF0:7EA0:8935:E38A:41C8:2D45","type":"comment","level":1,"id":"c-2603:8001:8EF0:7EA0:8935:E38A:41C8:2D45-20230520223900-Boundary_operator","replies":[]}}-->