Some results in Generalized \v{S}erstnev spaces
General Topology
2007-05-23 v3
Abstract
In this paper, we show that D-compactness in Generalized \v{S}erstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic Generalized \v{S}erstnev is not D-compact in general. Finally, in the finite dimensional Generalized \v{S}erstnev spaces a subset is D-compact if and only if is D-bounded and closed.
Cite
@article{arxiv.math/0502053,
title = {Some results in Generalized \v{S}erstnev spaces},
author = {M. Alimohammady and R. Saadati},
journal= {arXiv preprint arXiv:math/0502053},
year = {2007}
}
Comments
5 pages