Arc-smooth continua

  title={Arc-smooth continua},
  author={Joseph Fugate and Jr. G. R. Gordh and Lewis Lum},
Continua admitting arc-structures and arc-smooth continua are introduced as higher dimensional analogues of dendroids and smooth dendroids, respectively. These continua include such spaces as: cones over compacta, convex continua in 12, strongly convex metric continua, injectively metrizable continua, as well as various topological semigroups, partially ordered spaces, and hyperspaces. The arc-smooth continua are shown to coincide with the freely contractible continua and with the metric K… CONTINUE READING