Volterra space: Difference between revisions
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* ''On Volterra Spaces II'' by David Gauld, Sina Greenwood, and Zbigniew Pitriowski, ''Papers on General Topology and Applications, Ann. New York Acad. Sci. 806 (1996), 169-173'' | * ''On Volterra Spaces II'' by David Gauld, Sina Greenwood, and Zbigniew Pitriowski, ''Papers on General Topology and Applications, Ann. New York Acad. Sci. 806 (1996), 169-173'' | ||
* ''On Volterra Spaces III'' by David Gauld, Sina Greenwood, and Zbigniew Pitriowski, ''Topology Proceedings, 23 (Spring 1998), 167-182'' | |||
* ''Volterra spaces revisited'' by David gauld and Jiling Cao, ''Journal of the Australian Mathematical Society, 79 (2005), 61-76'' | |||
Revision as of 10:39, 20 August 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Definition
A topological space is said to be a Volterra space if the intersection of any two dense -subsets in it is dense.
Relation with other properties
Stronger properties
There has been a lot of research on conditions under which Volterra = Baire.
References
- On Volterra Spaces II by David Gauld, Sina Greenwood, and Zbigniew Pitriowski, Papers on General Topology and Applications, Ann. New York Acad. Sci. 806 (1996), 169-173
- On Volterra Spaces III by David Gauld, Sina Greenwood, and Zbigniew Pitriowski, Topology Proceedings, 23 (Spring 1998), 167-182
- Volterra spaces revisited by David gauld and Jiling Cao, Journal of the Australian Mathematical Society, 79 (2005), 61-76