Happy fractals and some aspects of analysis on metric spaces

摘要: There has been a lot of interest and activity along the general lines "analysis on metric spaces" recently, as in [2], [3], [26], [40], [41], [46], [48], [49], [51], [82], [83], [89], for instance. Of course this is closely related to involves ideas concerning "spaces homogeneous type", [18], [19], [66], [67], [92], well sub-Riemannian spaces, e.g., [8], [9], [34], [47], [52], [53], [54], [55], [68], [70], [72], [73], [84], [86], [88]. In present survey we try give an introduction some themes area, with selections several points view. Let us also mention [39], [93], [97], [98], [99] topics dealing nonstandard analysis, where one might think continuous space something like graph.