#### Journal Title

Proceedings of the American Mathematical Society

#### Publication Date

8-1976

#### Abstract

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*.

#### Subjects

Continuum (Mathematics)

#### 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.* Paper 4.

http://pilotscholars.up.edu/mth_facpubs/4

#### Peer-Reviewed

Yes

#### Document Type

Journal Article

## Publication Information

First published in Proceedings of the American Mathematical Sociey in 1976, published by the American Mathematical Society.