The abstract of the talk (see below) may be downloaded in one of the following formats:
This lecture deals with some abstract concepts of set-convergences. One of our principal interests is to establish connections between these convergences and classical ones, e.g. Vietoris or Hausdorff convergence. \medskip 2000 \emph{Mathematics Subject Classification.} 54B20, 54A20.\\[5pt] \emph{Key words and phrases.} Set-convergences, Vietoris convergence, Hausdorff convergence.