Around Effros' theorem

J. J. Charatonik, T. Ma{ćkowiak
1986 Transactions of the American Mathematical Society  
Some stronger versions of the Effros theorem are discussed in the paper, not only for homeomorphisms but also for some other mappings, e.g. for open ones. Equivalent formulations of the theorem are presented as the e-push property and the existence of a so-called Effros' metric.
doi:10.1090/s0002-9947-1986-0860381-9 fatcat:jzcmergq3vafvkknuf5bowk6pa