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Start Over Author "L. Fearnley" Journal proceedings of the american mathematical society
4 results on '"L. Fearnley"'

1. Every three-point set is zero dimensional

Author

L. Fearnley, David L. Fearnley, and J. W. Lamoreaux

Subjects
Discrete mathematics, Combinatorics, Zero set, Applied Mathematics, General Mathematics, Point set, Zero (complex analysis), Topology (electrical circuits), Zero element, Dijkstra's algorithm, Zero-dimensional space, Mathematics
Abstract

This paper answers a question of Jan J. Dijkstra by giving a proof that all three-point sets are zero dimensional. It is known that all two-point sets are zero dimensional, and it is known that for all n > 3, there are n-point sets which are not zero dimensional, so this paper answers the question for the last remaining case.

Published
2003

2. A Moore space with a ๐œŽ-discrete ๐œ‹-base which cannot be densely embedded in any Moore space with the Baire property

Author

David L. Fearnley

Subjects
Discrete mathematics, Moore space (topology), Applied Mathematics, General Mathematics, MathematicsofComputing_GENERAL, Baire category theorem, Property of Baire, Baire space, Base (topology), Mathematics
Abstract

The author answers a question raised in the literature about twenty five years ago and raised again more recently in Open Problems in Topology, by G. M. Reed, concerning the conjecture that every Moore space with a ฯƒ \sigma -discrete ฯ€ \pi -base can be densely embedded in a Moore space having the Baire property. Even though closely related results have made this conjecture seem likely to be true, the author shows that, surprisingly, the conjecture is false.

Published
1999

3. Every three-point set is zero dimensional.

Author

David L. Fearnley, L. Fearnley, and J. W. Lamoreaux

Subjects
MATHEMATICS, SET theory
Abstract

This paper answers a question of Jan J. Dijkstra by giving a proof that all three-point sets are zero dimensional. It is known that all two-point sets are zero dimensional, and it is known that for all $n > 3$, there are $n$-point sets which are not zero dimensional, so this paper answers the question for the last remaining case. [ABSTRACT FROM AUTHOR]

Published
2003
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4. A Moore space with a $\sigma$-discrete $\pi$-base which cannot be densely embedded in any Moore space with the Baire property.

Author

David L. Fearnley

Subjects
BAIRE spaces, TOPOLOGY
Abstract

The author answers a question raised in the literature about twenty five years ago and raised again more recently in \emph{Open Problems in Topology}, by G. M. Reed, concerning the conjecture that every Moore space with a $ \sigma$-discrete $\pi$-base can be densely embedded in a Moore space having the Baire property. Even though closely related results have made this conjecture seem likely to be true, the author shows that, surprisingly, the conjecture is false. [ABSTRACT FROM AUTHOR]

Published
1999
Full Text
View/download PDF

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