In a preceding paper we have introduced the t-singular homology with integral coefficient of orbifolds, which captures the orbifold structures. In this paper we introduce the s-singular homology of orbifolds, and study the s-singular homology of orbifolds and the t-singular homology with rational coefficient of orbifolds. The main theorems are the following: (i) the s-singular homology group of...

Cheating behavior is an activitythat appear to accompany teaching and learning process activities that can erode positive personality in students because they use dishonest methods achieving academic grades. This study aims test the effectiveness of group counseling with a rational emotive therapy approach reduce students' cheating behavior. type research quantitative experimental research. The...

1 Rational Geometric Fundamental Groups Let K be a nitely generated eld with separable closure K s and absolute Galois group G K : By a curve C=K we always understand a smooth geometrically irreducible projective curve. Let F(C) be its function eld and let (C) be the Galois group of the maximal unramiied extension of F(C): We have the exact sequence 1 ! g (C) ! (C) ! G K ! 1 (?) where g (C) is ...

We compute the homology groups H∗(Out(F7);Q) of the outer automorphism group of the free group of rank 7. We produce in this manner the first rational homology classes of Out(Fn) that are neither constant (∗ = 0) nor Morita classes (∗ = 2n− 4).

defined by (a, fl)o = (ctujl)[M] is a non-singular (l)k-symmetric bilinear pairing. The isometry class of the rational intersection form is determined by the rank if k is odd and by the rank and signature if k is even. We wish to make a corresponding analysis of the equivariant intersection form in the case where M is the total space of a finite G-cover. Let G be a finite group and w: G + { f l...