We introduce the notion of star cluster of a simplex in a simplicial complex. This concept provides a general tool to study the topology of independence complexes of graphs. We use star clusters to answer a question arisen ...

We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this ...

In this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebraic invariant that distinguishes two links if and only if they are link-homotopic. The paper establishes a connection between the ...

In this paper we address the classification problem for purely infinite simple Leavitt path algebras of finite graphs over a field ℓ. Each graph E has associated a Leavitt path ℓ-algebra L(E). There is an open question ...

O objetivo deste trabalho é estudar grande parte do artigo [6], no qual Gottlieb define o subgrupo G(X, x_0) de pi_1(X, x_0) (em que X é um CW-complexo conexo por caminhos), posteriormente chamado de grupo de Gottlieb; o ...

The algebraic topology is a branch of mathematics which the main goal is to solve problems of geometric / topological nature with the aid of Algebra. The homotopy theory is one of the most important topics of the algebraic ...