Year: 2023
Type: preprint
Abstract: We prove that the profinite completion of a pseudomanifold is the Artin-Mazur's etale homotopy type construction on its branched covers, which was implicitly conjectured by Sullivan in his MIT note (page 247) around 1970. This is a consequence of the existence of enough $K(π,1)$ open dense subspaces in a pseudomanifold.
Source: arXiv (Cornell University)
Author: Hu, Runjie
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386651372