In Bartels–Lück [1] we introduced the concept of transfer reducible groups with respect to a family of subgroups. This definition is somewhat technical and recalled as Definition 0.4 below. We showed that groups that are transfer reducible over the family of virtually cyclic subgroups satisfy the Farrell–Jones Conjecture with coefficients in an additive category. For further explanations about ...

We examine the notion of α-strong singularity for subfactors of a II1 factor, which is a metric quantity that relates the distance of a unitary to a subalgebra with the distance between that subalgebra and its unitary conjugate. Using work of Popa, Sinclair, and Smith, we show that there exists an absolute constant 0 < c < 1 such that all subfactors are c-strongly singular. Under additional hyp...

Tuna purse seine fishery is a commercial and industrial fishery in the Iranian waters of Oman Sea. An observer programme was conducted to identify the by-catch composition of the tuna purse seine fishery in the Iranian waters of the Oman Sea. Investigations were carried out on board of purse seiner vessel “named Parsian Shila” between September and October 2015. The by-catch was composed of 17 ...

We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte polynomial using a calculus of activities, to all polynomials involved in Brylawski’s formula. The approach presented here may be used to show a signed generalization of Brylawski’s formula, which may be used to compute ...