Metrizability of Decomposition Spaces

Abstract

See [2, p. 65;5;10]. In the terminology of [2] "quasicompact continuous" = "stark-stetig."In the terminology of Bourbaki, E is the space S/R where R is the equivalence relation corresponding to/ (i.e., xRy*-+f(x) =f(y)).2 See [9, p. 123; 4].The term "upper semi-continuous decomposition" has been used in the literature with several different meanings, but that given above seems to be generally adopted now.It is equivalent to "stetig Zerlegung" in [2], except that we do not require Fp to be closed.8 Another, independent, proof of Theorem 1 has appeared after this paper was written; see K. Morita and S.

Locations

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