On spaces with connected Higson coronas

Coronas for properly combable spaces

This paper is a systematic approach to the construction of coronas (i. e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for combings: properness, coherence and expandingness. Properness is the condition under which our construction of the corona works. Under the assumption of coherence and expandingness, attaching our corona to a Rips comp...

On fuzzy soft connected topological spaces

In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

On the Higson-roe Corona

Higson-Roe compacti cations rst arose in connection with C -algebra approaches to index theory on noncompact manifolds. Vanishing and/or equivariant splitting results for the cohomology of these compacti cations imply the integral Novikov Conjecture for fundamental groups of nite aspherical CW complexes. We survey known results on these compacti cations and prove some new results { most notably...

on fuzzy soft connected topological spaces

in this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. we also investigate effect to fuzzy soft connectedness. moreover, c_i-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

On Some Properties of Analytic Spaces Connected with Bergman Metric Ball