On paracompactness in cone metric spaces. (English) Zbl 1187.54022
Summary: It is well known that any metric space is paracompact. As a generalization of metric spaces, cone metric spaces play very important role in fixed point theory, computer science, and some other research areas as well as in general topology. In this paper, a theorem which states that any cone metric space with a normal cone is paracompact is proved.
MSC:
| 54D20 | Noncompact covering properties (paracompact, Lindelöf, etc.) |
| 54E35 | Metric spaces, metrizability |
References:
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