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)

Publication Information

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

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Mathematics Commons

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