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`

.

##
###
Factoring functions on Cartesian products

1972
*
Transactions of the American Mathematical Society
*

A function on a product space is said to depend on countably many coordinates if it can be written as a function defined on some countable subproduct composed with the projection onto that subproduct. It is shown, for X a completely regular Hausdorff space having uncountably many nontrivial factors, that each continuous real-valued function on X depends on countably many coordinates if and only if A" is pseudo-Xi-compact. It is also shown that a product space is pseudo-Kicompact if and only if

doi:10.1090/s0002-9947-1972-0288721-2
fatcat:5m2m6oj6cnaopm5qynvwbsjvai