Fine Topology Methods in Real Analysis and Potential Theory

Jaroslav Lukeš, Jan Malý, Luděk Zajíček (auth.)9780387164748, 0-387-16474-X

Table of contents :
Prologue….Pages 1-4
Base operator spaces….Pages 5-37
General properties of fine topologies….Pages 38-69
The lusin-menchoff property of fine topologies….Pages 70-132
Baire and blumberg spaces….Pages 133-142
Connectivity properties of fine topologies….Pages 142-147
Density topologies….Pages 147-229
Further examples of fine topologies….Pages 229-259
Extension theorems….Pages 259-287
Boundary behaviour of functions….Pages 287-317
Fine topology in potential theory….Pages 317-347
Harmonic spaces….Pages 347-365
Finely hyperharmonic functions….Pages 365-388
The fine dirichlet problem….Pages 388-407
Quasi-topological methods….Pages 407-423
Errata….Pages e1-e2