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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Semi-openness of induced maps
by
Javier Camargo
Universidad Nacional Autónoma de México and Universidad Industrial de Santander.

Xianjiu, Fanping and Gengrong defined semi-open mappings in the follow way: Let X and Y be topological spaces. A mapping f:X→ Y is said to be semi-open provided that IntY(f(U)) ≠ ∅ for each nonempty open subset U in X.

They asked the following question:

Let f:X→ Y be a surjective mapping between continua X and Y. Suppose that C(f) is semi-open, then does it follow that f is open?

We provide the negative answer to the above question and present relationships between f, Cn(f) and HSn(f).

Date received: January 23, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-25.