In this paper, we established an equivalence between the category of Braided Crossed Modules of Groups and the category of Simplicial Groups with Moore Complex of length 2.
In the present study, we work on the Hasimoto surfaces in three-dimensional Euclidean space by using q-frame. Calculating the coefficients of fundamental forms, we present Gaussian and mean curvatures of these Hasimoto surfaces. Lastly, we find some characterization of parameter curves of these Hasimoto surfaces.
If X is a discrete topological space, the points of its Stone-Cech compactification βX can be regarded as ultrafilters on X, and this fact is a useful tool in analysing the properties of βX. The purpose of this paper is to describe the compactification X of a metric space in terms of the concept of near ultafilters. We describe the topological space X and we investigate conditions under which S will be a semigroup compactification if S is a semigroup which has a metric. These conditions will always hold if the topology of S is defined by an invariant metric, and in this case our compactification S coincides with S LU C .
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