Mappings of trees and the fixed point property

Marsh, M. M.

doi:10.1090/S0002-9947-1989-0937249-5

Mappings of trees and the fixed point property
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Trans. Amer. Math. Soc. 315 (1989), 799-810 Request permission

Abstract:

We investigate weakly confluent, universal, and related mappings of trees and their relationships to the fixed point property for tree-like continua. This investigation leads to some new results, to generalizations of some known results, and to a partial solution of a question of H. Cook.

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mappings onto a tree and the fixed point property

Fixed point theorems for certain tree-like continua

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