A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Metric spaces in which Blumberg's theorem holds

1960
*
Proceedings of the American Mathematical Society
*

l], showed that for every real function/ on the real line R there is a dense set DER such that/ is continuous on D relative to D. The purpose of this paper is to characterize the metric spaces in which Blumberg's theorem holds. Let 5 be a metric space and E a subset of 5. A point xES is said to be of the second category relative to E if every sphere of center x contains a subset of E which is of the second category in S. Otherwise, x is said to be of the first category relative to E. S is said

doi:10.1090/s0002-9939-1960-0146310-1
fatcat:gavwvw3tund7hnrlnoleple3mu