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Dimension and extensions
Authors: ---
ISBN: 9780080887616 0080887619 1281778966 9781281778963 9786611778965 6611778969 9780444897404 0444897402 Year: 1993 Publisher: Amsterdam ; New York : North Holland,

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Abstract

Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces. The problem of de Groot concerned compactifications of spaces by means of an adjunction of a s


Book
Dimension theory of general spaces
Author:
ISBN: 0521205158 Year: 1975 Publisher: Cambridge

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Abstract

A complete and self-contained account of the dimension theory of general topological spaces, with particular emphasis on the dimensional properties of non-metrizable spaces. It makes the subject accessible to beginning graduate students and will also serve as a reference work for general topologists. Two introductory chapters summarize standard results in general topology, and cover material on paracompactness and metrization. The principal definitions of dimension follow and their general properties are deduced. Many examples are analysed to show some of the more surprising or pathological aspects of dimension theory. Wherever it is useful to do so, proofs are given in detail.

Fractal growth phenomena
Author:
ISBN: 9971508303 Year: 1989 Publisher: Singapore World scientific

Fractal geometry: mathematical foundations and applications
Author:
ISBN: 0471922870 9780471922872 Year: 1990 Publisher: Chichester: Wiley,

Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function
Authors: ---
ISSN: 00659266 ISBN: 0821805975 Year: 1997 Publisher: Providence (R.I.): American Mathematical Society

The beauty of fractals : images of complex dynamical systems
Authors: ---
ISBN: 3540158510 0387158510 3642617190 3642617174 9783540158516 Year: 1986 Publisher: Berlin Springer Verlag

Infinite-dimensional topology : prerequisites and introduction
Author:
ISBN: 0444871349 0444871330 9780444871343 9780444871336 Year: 1989 Volume: 43 Publisher: Amsterdam Elsevier


Book
Fractals : non-integral dimensions and applications
Authors: --- ---
ISBN: 0471927988 Year: 1991 Publisher: Chichester New York Singapore John Wiley & Sons


Book
The science of fractal images.
Authors: ---
ISBN: 0387966080 3540966080 1461283493 146123784X 9780387966083 9783540966081 Year: 1988 Publisher: Berlin Springer

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