Published: March 1996
- Preface. Inverse Spectra. Preliminary information. Definitions and elementary properties of inverse spectra. Factorizing spectra and the spectral theorem. Infinite-Dimensional Manifolds. Absolute extensors and absolute retracts. Z-sets in AN R-spaces. R&ohgr; - and I&ohgr; -manifolds. Topology of R&ohgr; - and I&ohgr; -manifolds. Incomplete manifolds. Cohomological Dimension. Cohomological dimension. Cell-like mappings raising dimension. Universal space for cohomological dimension. Menger Manifolds. General theory. n-soft mappings of compacta, raising dimension. n-soft mappings of Polish spaces, raising dimension. Further properties of Menger manifolds. Homeomorphism groups. &ohgr;-soft map of &sgr; onto &Sgr;. Nöbeling Manifolds. Strongly A&ohgr;,n-universal spaces. Pseudo-interiors and pseuod-boundaries of Menger compacta. Geometric pseudo-boundaries. Equivalence of categorical and geometric pseudo-interiors. Equivalence of the Nöbeling space and the pseudo-interior of &mgr;n. Further properties of Nöbeling spaces. Open subspaces of Nöbeling spaces. General Theory of Absolute Extensors in Dimension n and n-soft Mappings. AN E(n)-spaces and n-soft mappings. Morphisms of spectra and square diagrams. Spectral characterizations of n-soft mappings. Further properties of AE(0)-spaces. Strongly universal spaces. Topology of Non-Metrizable Manifolds. Non-metrizable manifolds. Topological characterization of I&tgr;-manifolds. Topological characterization of R&tgr;-manifolds. Trivial bundles. Applications. Uncountable powers of countable discrete spaces. Spectral representations of topological groups. Locally convex linear topological spaces. Shape properties of non-metrizable compacta. Fixed point sets of Tychonov cubes. Compact groups and fixed point sets. Group actions. Baire isomorphisms. Double spectra. Skeletoids in Tychonov cubes. Bibliography. Subject Index.