How big is the Universe? Is it finite or infinite? These questions have puzzled astronomers, scientists, and curious minds ...

Let G be a locally finite infinite graph and let I(G) be the set of ends of G. The Freudenthal compactification of G is the topological space |G| which is obtained from the usual topological space of ...

Easo and Hutchcroft weren’t initially looking for a solution to Schramm’s locality conjecture, which applies to infinite graphs. They were instead studying percolation on finite graphs. But they had ...

Image via Dailygalaxy. In the past, it was generally agreed upon that the Universe was either infinite in size and age, or that it was of finite size - with the dimension of time not coming about ...

The universe’s size depends on its shape. If the cosmos is flat or negatively curved, then the universe is infinite; if it’s positively curved, then it’s finite.

GEOMETERS are wont to speak (it seems to me) somewhat laxly of “the line at infinity” as if there were only one such line in a plane; in a certain but not in the most obvious sense this is ...