Transitivity of the Induced Map C_n(f)
A map f:X→ X, where X is a continuum, is said to be transitive if for each pair U and V of nonempty open subsets of X, there exists k∈N such that f k(U)∩ V≠\emptyset. In this paper, we show relationships between transitivity of f and its induced maps Cn(f) and Fn(f), for some n∈N. Also, we present conditions on X such that given a map f:X→ X, the induced function\break Cn(f):Cn(X)→ Cn(X) is not transitive, for any n∈N.
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| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | in |
| Published: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2014
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262014000200007 |
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