Continuous Selections of Multivalued Mappings by D. Repovs (PDF)

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Preface. A: Theory: 0. Preliminaries. 1. Convex-Valued Selection Theorem. 2. Zero-Dimensional Selection Theorem. 3. Relations between Zero-Dimensional and Convex-Valued Selections. 4. Compact-Valued Selection Theorem. 5. Finite-Dimensional Selection Theorem. 6. Examples and Counterexamples. 7. Addendum: New Proof of Finite-Dimensional Selection Theorem. B: Results: 1. Characterization of Normality-Type Properties. 2. Unified Selection Theorems. 3. Selection Theorems for Non-Lower Semicontinuous Mappings. 4. Selection Theorems for Nonconvex-Valued Maps. 5. Miscellaneous Results. 6. Measurable Selections. C: Applications: 1. First Applications. 2. Regular Mappings and Locally Trivial Fibrations. 3. Fixed-Point Theorems. 4. Homeomorphism Group Problem. 5. Soft Mappings. 6. Metric Projections. 7. Differential Inclusions. References. Subject Index.

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