Titlebook: Recent Progress in General Topology III; K.P. Hart,J. van Mill,P. Simon Book 2014 Atlantis Press and the authors 2014 Coarse Geometry.Func

Hemiparesis

Book 2014ological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems..

偉大

Topological Homogeneity,are imposed and these assumptions are of quite general nature (like compactness). On the other hand, we also consider homogeneous spaces with some sort of pathology. There are many very interesting results on homogeneous metrizable continua which consequently will not be discussed here. It turns out

白楊魚

Some Recent Progress Concerning Topology of Fractals,has a topological flavour but is motivated mainly by geometry. We review the various notions of attractor, then introduce the symbolic dynamics language for handling IFS and review its application to the exciting new area of fractal homeomorphisms. We also recall Kameyama’s question on topological c

Mechanics

A Biased View of Topology as a Tool in Functional Analysis, long paper deals with topics that we have been actively working on during the past years. These topics range from metrizability of compact spaces (and their consequences in functional analysis), networks in topological spaces (and their consequences in renorming theory of Banach spaces), distances

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Large Scale Versus Small Scale,scale analog of topology has been developed much earlier in the form of the uniform category. This paper is devoted to an exposition of analogies between basic concepts of topology (paracompactness, covering dimension), important ideas of coarse geometry (Property A of G. Yu, asymptotic dimension of

散布

Minimality Conditions in Topological Groups,ps, as semidirect products, generalized Heisenberg groups and other groups naturally arising in Analysis and Geometry. A special attention is paid to several generalizations of minimality (as local minimality, relative minimality and co-minimality), the relations of minimality to (dis)connectedness

MITE

紋章

Representations of Dynamical Systems on Banach Spaces,ociated to every dynamical system, plays a crucial role in this investigations we also survey the new developments in the theory of these semigroups, complementing the review article [.]. We then discuss some applications of these dynamical results to topological groups and Banach spaces.

不利

Permanence in Coarse Geometry, the topology of manifolds. Coarse geometric properties having implications for these conjectures include, among others, finite asymptotic dimension, its weaker variant finite decomposition complexity, and coarse embeddability. In this paper, we survey the permanence characteristics of these and oth

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