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Selections for Hyperspace Topologies

Selections and special metrics

V. Gutev, Selections and hyperspace topologies via special metrics, Topology Appl. 70 (1996), no. 2-3, 147-153.
V. Gutev and T. Nogura, Selections for Vietoris like hyperspace topologies, Proc. Lond. Math. Society 80 (2000), no. 3, 236-256.
C. Costantini and V. Gutev, Recognizing special metrics by topological properties of the "metric"-proximal hyperspace, Tsukuba J. Math. 26 (2002), no. 1, 145-169.

Selections and disconnectedness-like properties

V. Gutev and T. Nogura, Vietoris continuous selections and disconnectedness-like properties, Proc. Amer. Math. Soc. 129 (2001), 2809-2815.
V. Gutev and T. Nogura, Selection pointwise-maximal spaces, Topology Appl. 146/147 (2005), 397-408.
V. Gutev, Approaching Points by continuous selections, 2005. preprint

Selections and orderability

V. Gutev and T. Nogura, Fell continuous selections and topologically well-orderable spaces, Mathematika (2004), to appear. preprint
V. Gutev, Fell-continuous selections and topologically well-orderable spaces II, Proceedings of the Ninth Prague Topological Symposium (2001), 157--163 (electronic), Topol. Atlas, North Bay, ON, 2002. preprint
V. Gutev and T. Nogura, A topology generated by selections, Topology Appl. (2005), in print. preprint
V. Gutev and A. Tomita, Selections generating new topologies, submitted for publication. preprint