Talk:Kuratowski convergence

Additional example
I would like to add some additional examples, but I am not sure if these exmaples are correct:


 * Let Cn be a sequence of circles with center at (0,0) and radius R+1/n, for some constant R>=0. Then Cn converges to a circle with center at (0,0) and radius R (if R>0), or to the point (0,0) (if R=0).
 * Let S be a constant 2-dimensional geometric shape. Let Tn be a sequence of 5-tuples that converges to (0,0,1,1,0). For every n, let Sn be the shape S translated horizontally by Tn1, translated vertically by Tn2, scaled horizontally by Tn3, scaled vertically by Tn4 and rotated by Tn5. Then the sequence Sn converges to S (this is a generalization of the previous example).

Is this correct? --Erel Segal (talk) 06:08, 4 March 2014 (UTC)

Small correction
"Kuratowski convergence coincides with convergence in Fell topology."

Only for sequences (Beer's book, page 147). At the beginning of the article it is stated that Kuratowski convergence is also a mode of convergence for nets, which introduces a potential misinterpretation here.--93.156.35.197 (talk) 14:39, 31 December 2014 (UTC)

Major rewrite and expansion
I just added a large quantity of new content for this page. Revisions welcomed! InfCompact (talk) 22:50, 22 December 2022 (UTC)