Table of contents

Contents Papers on mathematical analysis, geometry, and function theory Papers on topology

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Contents § 0. Introduction § 1. Sets in strongly general position § 2. Regularly branching maps § 3. The converse of Hurewicz's theorem for polyhedra § 4. The problems of Hurewicz and Nöbeling § 5. The converse of the existence theorem for polyhedra § 6. Cohomological dimension § 7. Historical remarks on Urysohn's formula

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Contents Introduction 1. The universal Urysohn space 2. Gromov metric triples 3. Random metrics on the natural numbers and the Urysohn space

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Contents § 1. Introduction § 2. The Rubin-Shapiro theorem and its dual § 3. The wedge theorem

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Contents Introduction § 1. The Urysohn identity § 2. Non-metrizable manifolds § 3. On the dimension of manifolds

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Contents Introduction Chapter I. Algebra § 1. Tensor classification of Abelian groups § 2. Künneth algebras of polygroups § 3. The code lattice Chapter II. Topology § 4. Theory of extensional dimension § 5. Criterion for extensivity § 6. Dimension and connectivity Chapter III. Geometry § 7. Theorems on stable intersections § 8. Upper bounds for the dimension of an intersection § 9. Lower bounds for the dimension of an intersection

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