Characterizations of 2-Homeomorphic Spaces

Abstract: In a 2018 paper, Arhangel’skii and Maksyuta give the definition of a 2-homeomorphism, a topological concept that generalizes the notion of a homeomorphism. In this talk, we give some characterizations of spaces that are 2-homeomorphic to spaces possessing various topological properties, including compact spaces and discrete spaces. We also show that, although many topological properties are not preserved under the 2-homeomorphism relation, the property of having finite Cantor-Bendixson height is preserved.

algebraic topologydifferential geometrygeneral topologygeometric topology

Audience: researchers in the discipline

GOATS

Series comments: Description: A series of online mini-conferences for graduate students in Geo

Conference will be on Zoom and simultaneously livestreamed to Youtube. Zoom link is obtained by registering on the website, the livestream link will be posted closer to conference date.