Quasitopological space

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In mathematics, a quasi-topology on a set X is a function that associates to every compact Hausdorff space C a collection of mappings from C to X satisfying certain natural conditions. A set with a quasi-topology is called a quasitopological space

They were introduced by Spanier, who showed that there is a natural quasi-topology on the space of continuous maps from one space to another.

[edit] References

  • Spanier, E. Quasi-topologies. Duke Math. J. 30 1963 1-14.