The Henri Lefebvre's theory of the production of space is nowadays one of the main debated contributions in contemporary social theory when the subject is the spatiality of social life. This paper has place in this discussion. ...

We describe the set [X,Y] of path-components of pointed mapping spaces M⁎(X,Y), where X is chosen to be the reduced kth suspension EkFPm of a projective space FPm and Y is a sphere Sn or FPn for F=R,C, the fields of real ...

Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebra A with a fixed projection p. The resulting space P(p) admits a rich geometrical ...

Given a complex Krein space H with fundamental symmetry J, the aim of this note is to characterize the set of J-normal projections Q={Q∈L(H):Q2=QandQ#Q=QQ#}. The ranges of the projections in QQ are exactly those ...

Os planos projetivo e hiperbólico octoniônicos são estudados. Apresentamos as construções baseadas em álgebras de Jordan, as métricas Riemannianas, a estrutura de espaços homogêneos e a classificação das subvariedades ...

Several multidimensional projection techniques have been proposed in literature over the last years. The quality of those techniques can be evaluated based on the dimensionality reduction or the clusters quality. The first ...

Let H be a Krein space with fundamental symmetry J. Along this paper, the geometric structure of the set of J-normal projections Q is studied. The group of J-unitary operators UJ naturally acts on Q. Each orbit of this ...