Finite dimensional groups of local diffeomorphisms
Sign Up to like & getrecommendations! Published in 2018 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1729-6
Abstract: We are interested in classifying groups of local biholomorphisms (or even formal diffeomorphisms) that can be endowed with a canonical structure of algebraic groups and their subgroups. Such groups are called finitedimensional. We obtain that… read more here.
Keywords: groups local; finite dimensional; dimensional groups; local diffeomorphisms ... See more keywords
Paratopological groups: Local versus global
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107424
Abstract: Abstract In this paper, one example is constructed to show that locally metrizable paratopological groups might be neither paracompact nor normal. It gives negative answers to two questions posed in [A. Arhangel'skii and M. Tkachenko,… read more here.
Keywords: local versus; topology; groups local; paratopological groups ... See more keywords