In this paper the concept of intuitionistic fuzzy α-irresolute functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. We also study relationship between this function with other existing functions.

This paper is devoted to the concepts of fuzzy upper and fuzzy lower contra-continuous, contra-irresolute and contra semi-continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in L-fuzzy topological spaces. Later, composition and union between these multifunctions have been studied. AMS (MOS) Subject Cla...

We introduce quasi-symplectic groupoids and explain their relation with momentum map theories. This approach enables us to unify into a single framework various momentum map theories, including ordinary Hamiltonian G-spaces, Lu’s momentum maps of Poisson group actions, and the group-valued momentum maps of Alekseev–Malkin–Meinrenken. More precisely, we carry out the following program: (1) We de...

We prove that a quasi-isometric map, and more generally coarse embedding, between pinched Hadamard manifolds is within bounded distance from unique harmonic map.

We show that a continuous map f from quasi-graph X to itself is pointwise recurrent if and only one of the following two statements holds: (1) simple closed curve topologically conjugate an irrational rotation on unit circle S1; (2) periodic homeomorphism.

We generalize the results of Chang-Li, Kim-Oh and Chang-Li on moduli $p$-fields to setting (quasi-)maps complete intersections in arbitrary smooth Deligne-Mumford stacks with projective coarse moduli. In particular, we show that virtual cycle stable a intersection can be recovered by cosection localized ambient space.

The aim of this paper is to extend the concept of fuzzy sgIrresolute mappings due to Tapi, Thakur and Rathore [14] for intuitionistic fuzzy topological spaces and some of its basic properties are studied.

In this present paper, by utilizing ij−δ semi open sets, we introduce ij−∧δ, ij−∨δ, g− ij−∧δ, g− ij−∨δ sets and investigate some of their properties in bitopological spaces. Also, we present and study the notions of ij − T∨sδ space, ij−∧δ continuous, ij−∧δ irresolute, ij−∧δ open and ij−∧δ homeomorphism functions.