Hemicompact + Top. Group + Frechet Urysohn => Polish Hemicompact + Top. Group + Frechet Urysohn => Locally compact Hemicompact + Top. Group + Baire => Locally compact See prop 2.2 and corollary 2.3 in https://arxiv.org/pdf/2602.04647
Hemicompact + Top. Group + Frechet Urysohn => Polish
Hemicompact + Top. Group + Frechet Urysohn => Locally compact
Hemicompact + Top. Group + Baire => Locally compact
See prop 2.2 and corollary 2.3 in https://arxiv.org/pdf/2602.04647