Whitney Levels Without Whitney Maps
Zarichnyi, M. and Skaskic, O. and Banakh, T. (Taras)
We propose a new definition of a Whitney level that does not require the existence of a Whitney map. This allows to investigate hyperspaces of non-metric continua in a similar way as we investigate metric ones. We will show examples of hyperspaces with many Whitney levels ant others that do not admit any and we will show some Whitney properties for non-metric continua.
W. J. Charatonik, "Whitney Levels Without Whitney Maps," Analysis and Topology, Lviv Polytechnic National University, Jan 2008.
International Conference Analysis and Topology, Lviv University
Mathematics and Statistics
Article - Conference proceedings
© 2008 Lviv Polytechnic National University, All rights reserved.
01 Jan 2008