Schwartz Functions and Compactifications
Geometric Topology
2023-08-04 v1
Abstract
In the early 20th century, Laurent Schwartz observed that we can identify functions that extend smoothly to the point at infinity of one-point compactifications of Euclidean spaces. We show a similar result for a different compactification of Euclidean spaces, namely, the real projective spaces.
Cite
@article{arxiv.2308.01852,
title = {Schwartz Functions and Compactifications},
author = {Jonah Marcus and Molly Sager},
journal= {arXiv preprint arXiv:2308.01852},
year = {2023}
}