Dynamic properties for the induced maps on n-fold symmetric product suspensions | Zendy

Franco Barragán | Zendy; Alicia Santiago-Santos | Zendy; Jesús F. Tenorio | Zendy

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Dynamic properties for the induced maps on n-fold symmetric product suspensions

Author(s) -

Franco Barragán,

Alicia Santiago-Santos,

Jesús F. Tenorio

Publication year - 2016

Publication title -

glasnik matematicki

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.332

H-Index - 17

eISSN - 1846-7989

pISSN - 0017-095X

DOI - 10.3336/gm.51.2.12

Subject(s) - fold (higher order function) , mathematics , product (mathematics) , combinatorics , pure mathematics , geometry , computer science , programming language

Let X be a continuum. For any positive integer n we consider the hyperspace Fn(X) and if n is greater than or equal to two, we consider the quotient space SFn(X) defined in [3]. For a given map f:X → X, we consider the induced maps Fn(f): Fn(X) → Fn(X) and SFn(f): SFn(X) → SFn(X) defined in [4]. Let M be one of the following classes of maps: exact, mixing, weakly mixing, transitive, totally transitive, strongly transitive, chaotic, minimal, irreducible, feebly open and turbulent. In this paper we study the relationships between the following statements: f M, Fn(f) M and SFn(f) M

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