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Lindelof planks and Michael spaces
by
Agata Caserta
Univ. of Naples (Italy), York University (Canada)
Coauthors: Prof. Stephen Watson (York University)
Given two topological spaces X, Z, a cardinal \theta, and two functions h from Z into \theta+ 1 and j from X into \theta+1, we define the following plank Yj, h as the set of all the ordered pairs (x, z) in X times Z such that h(z) is greater than j(x). We investigate the Lindelof property of Yj, h and Yj, h ×Y, where Y is an arbitrary topological space. For particolar choice of j, h and Y we get some examples of Michael spaces.
Date received: June 18, 2003
Copyright © 2003 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 # calv-11.