A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Maximal Extensions of First-Countable Spaces
1982
Proceedings of the American Mathematical Society
Preserved Fulltext
A first-countable space is called maximal if it is not contained as a dense subspace in a first-countable space properly. The following are shown; (1) every locally compact, first-countable space is a dense subspace of a maximal space, (2) every metrizable space is a dense subspace of a maximal space, and (3) there is a first-countable space which is not a dense subspace of any maximal space.
doi:10.2307/2043290
fatcat:nwanfhivnbfshjlvhwgkvqssnu