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The book is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on. Universal spaces Universal mappings Dimension theory Actions of groups Isometric Universal Spaces.
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This volume is concerned with a geometric approach to qualitative problems in intrinsic differential geometry, with an emphasis on spaces in which the geodesics have only local uniqueness properties. Finsler spaces are the principal subject, both in terms of a type of space and of an approach. Some familiarity with non-Euclidean geometry and classical differential geometry is necessary to grasp the significance of the problems.
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