Talk:Finite topology

Ends
Make a page on "ends" and link to it. 19:37, 23 October 2005‎ 66.167.250.3

Reference request for definition of "surface of finite topology"
Hello all,

I've found several papers that use the term finite topology in reference to manifolds/topological surfaces. For example, "Embedded minimal surfaces of finite topology" (Hoffman and Meeks), "Complete minimal surfaces of finite topology in the doubled Schwarzchild 3-manifold" (Jaigyoung et al), "Conformal structure of minimal surfaces with finite topology" (Bernstein and Breiner), and many more.

However, I've been unable to find any original sources that actually define this term. I suspect that it is shorthand for surface of finite topological type, but I've yet to find a source corroborating this, or even a source actually defining the term topological type.

Can someone with more expertise in manifolds/topological surfaces and more familiarity with the literature help me here? 64.106.111.99 (talk) 16:52, 18 September 2023 (UTC)


 * Given that the above refers to surfaces, it would seem to me that the definition in the section "on manifolds" in this article applies: A "finite topology" is a "compact Riemann surface with a finite number of points removed." At least, that would be my guess. You'd have to read the papers to see if this is what they seem to be talking about. 67.198.37.16 (talk) 21:48, 17 November 2023 (UTC)

Wiki Education assignment: Introduction to Information Studies
— Assignment last updated by Angerbodha (talk) 18:09, 25 September 2023 (UTC)


 * The changes all look plausible to me. 67.198.37.16 (talk) 21:55, 17 November 2023 (UTC)