Description: A. Theory.- 0. Preliminaries.- 1. Convex-valued selection theorem.- 2. Zero-dimensional selection theorem.- 3. Relations between Zero-dimensional and Convex-valued selection theorems.- 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.

Please Wait