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In Bitopological spaces, Proc. London Math. Soc. (3) 13 (1963) 71–89 MR0143169, J.C. Kelly introduced the idea of bitopological spaces. Is there any paper concerning the generalization of this concept, i.e. a space with any number of topologies?

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    FWIW: Among the $\sim\!50$ papers that cite this paper on MathSciNet, there seems to be none that mentions $n$-topological spaces.2011-07-25
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    This [paper](http://zabidin.blog.umt.edu.my/files/2009/08/Mapp-and-pair-conti-on-pair-Lindelof.pdf) talks about n-topological spaces a little bit.2011-07-25

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