A note on quasi-metric spaces

@article{Albert1941ANO,
  title={A note on quasi-metric spaces},
  author={George E. Albert},
  journal={Bulletin of the American Mathematical Society},
  year={1941},
  volume={47},
  pages={479-482}
}
  • G. E. Albert
  • Published 1 June 1941
  • Mathematics
  • Bulletin of the American Mathematical Society
In the present note it is shown that a very useful generalized distance function may be defined in certain of these spaces. Clearly, any such distance function must be an asymmetric one. W. A. Wilson considered the definition of asymmetric distances in certain spaces which satisfy stronger separation axioms than K. I t is shown here that a slight modification of one of the axioms in [W] allows the extension of a large part of the theory developed there to spaces subject to K. Since many of the… Expand
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