On the nonvanishing of abstract Cauchy–Riemann cohomology groups

the impact of using inspirational quotes on abstract vocabulary recall

the present study is an attempt to investigate the potential impact of inspirational quotes on improving english abstract vocabulary recall. to achieve this goal, a multiple choice language proficiency test of 60 items including vocabulary and grammar component was administered to a sample of 63 second-semester male and female students whose age ranged between 17 to 22 and they were studying en...

Digital cohomology groups of certain minimal surfaces

In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...

Topological Methods in Abstract Algebra. Cohomology Theory of Groups

Lectures on the Cohomology of Groups

The cohomology theory of groups arose from both topological and algebraic sources. The starting point for the topological aspect of the theory was a 1936 paper by Hurewicz [7], in which he introduced aspherical spaces. These are spaces X such that πn(X) = 0 for n 6= 1. (Hurewicz had introduced higher homotopy groups just one year earlier, and he was now trying to understand the spaces with the ...

On the Continuous Cohomology of Diffeomorphism Groups

Suppose that M is a connected orientable n-dimensional manifold and m > 2n. If H(M, R) = 0 for i > 0, it is proved that for each m there is a monomorphism Hm(Wn, O(n)) → H m cont(Diff M, R). If M is closed and oriented, it is proved that for each m there is a monomorphism Hm(Wn, O(n)) → H m−n cont (Diff+ M, R), where Diff+ M is the group of orientation preserving diffeomorphisms of M . 2000 Mat...