Author/Authors :
Nadler Jr، نويسنده , , Sam B.، نويسنده ,
Abstract :
Types of spaces are given on which every local connectivity function is a connectivity function, a connected function, or a Darboux function. A complete determination such spaces is obtained when the spaces are assumed to be arc-like continua or circle-like continua. Results provide answers to a question asked by Stallings.
Keywords :
Arc-like (chainable) continuum , n-od , Atriodic continuum , Terminal continuum , Monotone map , Connected function , Circle-like continuum , Continuum , Darboux function , Composant , dendrite , ?-splitting set , Hereditarily arcwise connected , Connectivity function , Indecomposable continuum , Irreducible continuum , Local connectivity function , Arcwise connected , Peano continuum
