3 papers
math.DG2026
On the bisections of a local Lie grpoupod
Navya K Nair, P G Romeo
In this paper, we study the local Lie group structure associated with the space of admissible bisections of a local Lie groupoid over a compact manifold. We further investigate the…
math.FA2026
Cross-connections of the normed algebra of finite rank bounded operators on a Hilbert space
A. Anju, P. G. Romeo
In this article we examine the cross-connections of the normal category of finite dimensional subspaces of a Hilbert space and it's dual space. Further, we describe the cross-conne…
math.CT2024
Cross-connection semigroups amalgam of a vector bundle
P. G. Romeo
Cross-connections of normal categories was introduced by K.S.S.Nambooripad while discussing the structure of regular semigroups and via this cross-connections he obtained a beautif…