3 citations · 4 across the 6 of their papers we have counts for
6 papers
Normality Criteria for Quasimeromorphic Mappings: Avoidance and Sharing
Gopal Datt, Kushal Lalwani, Ashish Kumar Trivedi
We establish normality criteria for families of quasimeromorphic mappings in \(\mathbb{R}^n\), \(n\geq 2\), based on the avoidance and sharing of continuous functions. We first est…
Attractors and chain recurrence in noncompact space for semigroup of continuous maps
Sanjay Kumar, Kushal Lalwani
We shall address the alternative definition of chain recurrent set for the action of a semigroup of continuous self maps, given by M. Hurley \cite {mh} in noncompact space. Followi…
Attractors and chain recurrence in generalized semigroup
Kushal Lalwani
In \cite {kl1}, we extended various notions of recurrence for the generalized semigroup analogous to their counterpart in the classical theory of dynamics. In this paper, we shall…
Recurrence in generalized semigroup
Kushal Lalwani
In [arXiv:1904.12333], we introduced the concept of escaping set in general setting for a topological space and extended the notion of limit set and escaping set for the general se…
On the Escaping Set in Topological Dynamics
Kushal Lalwani
We wish to investigate some elementary problems concerning topological dynamics revolving around our proposed definition of escaping set. We also discuss the notion of escaping set…
Triangulation and Classification of 2-Manifolds
Kushal Lalwani
This dissertation contains a comprehensive study of the topology of 2-manifolds and a complementary analysis of the work done by Edwin E. Moise, L. V. Ahlfors and Ian Richards. Our…