Talk:Hemicontinuity

message: This page is incomprehensible to all but those who are up on there set theory notation. There is no reason for this, uhc and lhc are not that advanced of concepts. I'd add the appropriate clarity tag, but I forgot what it is. Pdbailey (talk) 03:47, 14 January 2008 (UTC)
replies: text: I think the page also needs a figure, and an explanation of why these definitions are useful. Pdbailey (talk) 05:54, 14 January 2008 (UTC)
thread_title: Accessibility

message: What does it mean "the graph of the correspondence is closed from the left and from the right" and "the graph has no closed edges"? Either explain it better, or delete it: now, what should be the "intutitive" explanation is way more difficult that the actual definition. Manta (talk) 16:44, 27 November 2008 (UTC)
thread_title:  Introduction

message: I don t understand in what sense the concept of continuity for single valued function is not extengible to multi valued functions. I think that as long as both spaces are endowed with a topology,we can extend the concept of continuity for single valued functions without issues.
Also(my first langage is not english ,so I might be sorely wrong here) in the paragraph intitled "implications to continuity"  ,the first sentence sounds like the definition of continuity is given by both hemicontinuities,which is not false but it is more accurate to refer to the link between continuity and hemicontinuity as a property.Patrickassonken 10:59pm ,july 4th 2008(ET)  —Preceding unsigned comment added by Patrickassonken (talk • contribs) 03:00, 5 July 2008 (UTC)
replies: text: Would you explain it better? Please give your definition of continuity for applications. Manta (talk) 16:44, 27 November 2008 (UTC)
thread_title: Questions from Patrickassonken

message: From the article:
One should be warned that the term upper semicontinuous, instead of upper hemicontinuous, has been more widespread in the literature. Then upper hemicontinuous is reserved for upper semicontinuity with respect to the weak topology.
So if semicontinuous is the more common terminology, why doesn't this article use that? It doesn't even avoid a name clash with semi-continuity according to this quote. Quietbritishjim (talk) 01:08, 9 August 2009 (UTC)
thread_title: Why not semicontinuous

message: It would be useful to have the alternative definitions based on sequences, or equivalence theorems.  —Preceding unsigned comment added by 72.33.43.134 (talk) 20:48, 7 June 2010 (UTC)
thread_title: Sequential definitions

message: \Gamma\left(x\right)=\left\{ y\in R,\;\max\left(\left|x\right|,\left|y\right|\right)\le1\right\}  where does \Gamma fail to be l.h.c.? This is a question on page 60 in the book "Recursive Methods in Economic Dynamics" by Nancy L. Stokey and Robert E. Lucas, JR. with Edward C.Prescott. Can someone give a hint? Jackzhp (talk) 00:17, 10 August 2010 (UTC)
replies: text: Yes, wikipedia is not a place you go to ask homework questions. If you insist, you might try the math help desk. 018 (talk) 17:28, 29 August 2011 (UTC)
thread_title: This question

message: The  of the article claims: "For a correspondence Γ : A → B with closed values (i.e. Γ(a) - closed for all a in A), closed domain and compact range, to be upper hemicontinuous it is sufficient and necessary to have closed graph." However, it is not defined what closed domain means. (And this theorem is given here without a reference.) --Kompik (talk) 16:57, 20 June 2016 (UTC)
replies: text: You're right. Added more details to this theorem and a reference for it on . Saung Tadashi (talk) 03:14, 19 July 2016 (UTC)
thread_title: Closed domain

message: The link to the Vietoris topology only defines the Vietoris topology in general. It is not immediately clear how one would define an upper and a lower Vietoris topology based on the link. 120.51.141.38 (talk) 02:36, 19 May 2023 (UTC)
thread_title:  Upper and lower Vietoris topology