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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.

Topology --- Dimension theory (Topology) --- Topological spaces. --- Dimension theory (Topology). --- Topologie generale --- Dimension

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Algebraic topology --- Topology --- Dimension theory (Topology) --- Infinite dimensional manifolds. --- 515.127.1 --- Infinite dimensional manifolds --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Manifolds, Infinite-dimensional --- Global analysis (Mathematics) --- Topological manifolds --- Dimension theory --- 515.127.1 Dimension theory --- Topologie. --- Topology. --- Retracts, Theory of --- Rétractes, Théorie des --- Rétractes, Théorie des. --- Topologie --- Point fixe, Théorème du --- Topologie combinatoire

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Ordered algebraic structures --- RINGS (Algebra) --- Dimension theory (Algebra) --- 512.55 --- Rings (Algebra) --- Algebraic rings --- Ring theory --- Algebraic fields --- Associative algebras --- Commutative algebra --- Rings and modules --- 512.55 Rings and modules

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Differential geometry. Global analysis --- Fractals --- Fractales --- Fractals. --- 517.542 --- #WPLT:dd.Prof.F.Symons --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Mappings of special domains --- 517.542 Mappings of special domains

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Stochastic processes --- Measure theory. Mathematical integration --- 519.1 --- Combinatorics. Graph theory --- Dimension theory (Algebra) --- Probabilistic number theory. --- Dimension theory (Algebra). --- 519.1 Combinatorics. Graph theory --- Central limit theorem --- Théorème de la limite centrale --- Théorème de la limite centrale. --- Probabilités. --- Markov, Processus de --- Markov processes --- Probabilities --- Central limit theorem. --- Théorème de la limite centrale --- Probabilités --- Markov processes. --- Probabilities. --- Theorie des nombres --- Theorie probabiliste