Can I read Glueing Spaces Without Identifying Points on EtoBox?

Glueing Spaces Without Identifying Points by de Souza, Lucas H. R. is a scholarly article available to read on EtoBox.

What is Glueing Spaces Without Identifying Points about?

In this paper we develop the theory of Artin-Wraith glueings for topological spaces. As an application, we show that some categories of compactifications of coarse spaces that agree with the coarse structures are invariant under coarse equivalences. As a consequence, if X and Y are some well behaved metric spaces that are coarse equivalent, then they have the same space of ends (generalizing the well known fact that works on quasi-isometric proper geodesic metric spaces). As another application, we show that for every compact metrizable space $Y$, there exists only one, up to homeomorphisms, compactification of the Cantor set minus one point such that the remainder is homeomorphic to $Y$.

Author

de Souza, Lucas H. R.

Published

2020

Language

EN