Titlebook: Applications of Point Set Theory in Real Analysis; A. B. Kharazishvili Book 1998 Springer Science+Business Media Dordrecht 1998 measure th

WATER

不怕任性

Thomas Schabbach,Viktor WesselakIn this section of our book we shall fix the notation and present some elementary facts from set theory, general topology and measure theory. Clearly, we shall systematically use these facts in our further considerations.

Adj异类的

排他

泥土谦卑

Liberate

Energieverbrauch und Wirtschaftskraft,This section of the book is closely connected with the previous one (but, of course, we do not use here the results presented in that section).

植物群

Energieereignisse in der Geschichte,Let . be a basic set (we assume, as a rule, that . is infinite) and let . be a group of transformations of .. As we know, in such a case, the pair (.) is called a space equipped with a transformation group. If . acts transitively in ., then . is called a homogeneous space (with respect to .).

Ascendancy

Martin Kaltschmitt,Hans HartmannIn the present section we deal with various mappings (acting from a measure space into another measure space) having the classical property (.) of Luzin. It is well known that this deep property plays an important role in many questions of mathematical analysis and measure theory.

Neuralgia

Landwirtschaftlich produzierte Biomasse,In this section, for a given space . with a transformation group ., the notions of a .-thick set and of a .-thin set are introduced and discussed. Some relationships between these notions and the theory of .-invariant (more generally, .-quasiinvariant) measures are considered.

彩色的蜡笔

,Nebenprodukte, Rückstände und Abfälle,In this final section of the book we wish to consider some set-theoretical questions concerning the existence and uniqueness of solutions of ordinary differential equations.