Talk:Kuratowski convergence

Additional example

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

Let C_n be a sequence of circles with center at (0,0) and radius R+1/n, for some constant R>=0. Then C_n 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 T_n be a sequence of 5-tuples that converges to (0,0,1,1,0). For every n, let S_n be the shape S translated horizontally by T_n1, translated vertically by T_n2, scaled horizontally by T_n3, scaled vertically by T_n4 and rotated by T_n5. Then the sequence S_n converges to S (this is a generalization of the previous example).

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

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)[reply]

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)[reply]