Displaying similar documents to “A remark to the paper “On condensing discrete dynamical systems””

On indecomposability and composants of chaotic continua

Hisao Kato (1996)

Fundamenta Mathematicae

Similarity:

A homeomorphism f:X → X of a compactum X with metric d is expansive if there is c > 0 such that if x,y ∈ X and x ≠ y, then there is an integer n ∈ ℤ such that d ( f n ( x ) , f n ( y ) ) > c . A homeomorphism f: X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ ℤ such that d i a m i f n ( A ) > c . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua...

Absolutely terminal continua and confluent mappings

Janusz Jerzy Charatonik (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.