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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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Embeddings of Perfect GO-spaces into Perfect LOTS
by
Takuo Miwa
Shimane University
Coauthors: Wei-Xue Shi, Yin-Zhu Gao

In this talk, we consider the following problems.

Problem 1. Is it true that a perfect GO-space can be embedded in a perfect LOTS?

Problem 2. Is it true that a perfect GO-space can be densely embedded in a perfect LOTS?

For Problem 2, we give an example which answer negatively. For Problem 1, we give a partial positive answer; that is, we prove that any perfect GO-space with the underlying LOTS satisfying local perfectness can be embedded in a perfect LOTS.

Date received: April 12, 1996

Copyright © 1996 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 # caae-58.