Kumar, Mandeep; Tyagi, Brij Kishore(Universitat Politècnica de València, 2022-10-03)
[EN] For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, ...
[EN] Let X be a continuum and let n be a positive integer. We consider the hyperspaces Fn(X) and SFn(X). If m is an integer such that n > m ≥ 1, we consider the quotient space SFnm(X). For a given map f : X → X, we ...
Sharma, Puneet(Universitat Politècnica de València, 2016-10-03)
[EN] In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot ...
Sharma, Puneet; Nagar, Anima(Universitat Politècnica de València, 2010-04-01)
[EN] In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on ...