A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Fixed points in indecomposable $k$-junctioned tree-like continua

2010
*
Proceedings of the American Mathematical Society
*

Let M be an indecomposable k-junctioned tree-like continuum. Let f be a map of M that sends each composant of M into itself. Using an argument of O. H. Hamilton, we prove that f has a fixed point. D. P. Bellamy [1] in 1979 defined a tree-like continuum that does not have the fixed-point property (also see [4], [10], [11], and [13]). In 1998, the author [6] proved that every tree-like continuum has the fixed-point property for deformations. This was accomplished by showing that every map of a

doi:10.1090/s0002-9939-09-10165-x
fatcat:oydnwu6qmffstfnmte7hwpy3ti