Proceedings of the American Mathematical Society
Let M be a metric continuum containing a fixed point p. The following conditions are shown to be equivalent. (i) M is a dendrite. (ii) Each subcontinuum of M is a monotone retract of M. (iii) M is arcwise connected and each subcontinuum of M containing p is a monotone retract of M.
Citation: Pilot Scholars Version (Modified MLA Style)
Gordh, G. R. Jr. and Lum, Lewis, "Monotone Retracts and Some Characterizations of Dendrites" (1976). Mathematics Faculty Publications and Presentations. 4.