Selection Principles in Mathematics
 

[Home] [Meetings] [Literature] [Research Problems] [Researchers][SPM bulletin]

  Hyperspaces

Pixley-Roy hyperspaces

1. P. Daniels, Pixley-Roy spaces over subsets of the reals, Topology and its Applications 29 (1988), 93 -- 106
2. Lj.D.R. Kocinac, The Pixley-Roy topology and selection principles, Questions and Answers in General Topology 19:2 (2001), 219 - 225.
3. M. Scheepers, Combinatorics of open covers (V): Pixley-Roy spaces and sets of reals, and ω-covers , Topology and its Applications 102 (2000), 13 - 31
4.  

Fell and Vietoris hyperspaces

1. G. Di Maio, Lj.D.R. Kocinac and E. Meccariello, Selection principles and hyperspace topologies, Topology and its Applications 153 (2005), 912-923
2. G. Di Maio, Lj.D.R. Kocinac and T. Nogura, Convergence properties of Hyperspaces, Journal of the Korean Mathematical Society 44 (2007), 845 - 854.
3. Lj.D.R. Kocinac, The Reznichenko property and the Pytkeev property in hyperspaces, Acta Mathematica Hungarica 107 (2005), 225 - 233.
4. Lj.D.R. Kocinac, gamma-sets, gamma_k-sets and hyperspaces, Mathematica Balkanica 19 (2005), 109 - 118.

Other hyperspaces

1. M. Scheepers, Combinatorics of open covers (IV): subspaces of the Alexandroff double of the unit interval , Topology and its Applications 83 (1998), 63 -- 75
   .DVI file
2.