Topology, measures, and fractals
著者
書誌事項
Topology, measures, and fractals
（Mathematical research = Mathematische Forschung, 66）
Akademie Verlag, c1992
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注記
"This volume collects papers of the participants of the conference 'Topology and Measure VI' which took place in Warnemünde, Germany, in August 1991" -- Pref.
内容説明・目次
内容説明
Measure and topology are key fields for all parts of modern mathematics. At the borderline of measure theory and general topology, there has been a fruitful and vivid research which in recent years has been stimulated by the development of fractal geometry and chaotic dynamical systems. This volume contains surveys and original papers resulting from the international conference "Topology and Measure VI" which took place in Warnemuende, Germany, in August 1991. The following topics are treated: integration and functional analysis; fractals and geometric measure theory; classical measure theory and quantum logics; and general topology and topological dynamics.
目次
- The Hausdorff dimension of certainattractors, H.G. Bothe
- means in topological spaces, J.J. Charatonik
- inner and outer regularity of set functions, H. Koenig
- Hausdorff dimension and image processing, L. Staiger
- Schauder-tychonoff fixed point theorems, H. Weber
- fractional differentiation, M. Zaehle. (Part Contents)
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