Blockers in hyperspaces |
| |
| Authors: | Alejandro Illanes |
| |
| Institution: | a Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Cd. Universitaria, México 04510, D.F., Mexico
b Mathematical Institute, University of Wroc?aw, Pl. Grunwaldzki 2/4, 50-384 Wroc?aw, Poland |
| |
| Abstract: | Given a metric continuum X, let X2 and C(X) denote the hyperspaces of all nonempty closed subsets and subcontinua, respectively. For A,B∈X2 we say that B does not block A if A∩B=∅ and the union of all subcontinua of X intersecting A and contained in X−B is dense in X. In this paper we study some sets of blockers for several kinds of continua. In particular, we determine their Borel classes and, for a large class of locally connected continua X, we recognize them as cap-sets. |
| |
| Keywords: | primary 54B20 54F15 secondary 57N20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
