4 papers
math.DS2021
On conjugacy between natural extensions of 1-dimensional maps
J. Boroński, P. Minc, S. Štimac
We prove that for any nondegenerate dendrite there exist topologically mixing maps and , such that the natural extensions (aka shift homeom…
math.DS2021
Characterizations of -like continua that do not have the fixed point property
Iztok Banic, Judy Kennedy, Piotr Minc
We give two characterizations of -like continua that do not have the fixed point property. Both characterizations are stated in terms of sequences of open covers of…
math.GN1999
Homotopy classes of maps between Knaster continua
Piotr Minc
By a Knaster continuum we understand the inverse limit of copies of [0,1] with open bonding maps. We prove that for any two Knaster continua K_1 and K_2, there are 2^\aleph_0 disti…
math.GN1998
A hereditarily indecomposable tree-like continuum without the fixed point property
Piotr Minc
A hereditarily indecomposable tree-like continuum without the fixed point property is constructed. The example answers a question of Knaster and Bellamy.