40 citations · 103 across the 14 of their papers we have counts for
14 papers
Pairings of Sheaves of -Modules through Bilinear -Morphisms
A. Mallios, PP Ntumba
It is proved that for any free -modules and of finite rank on some -algebraized space a \textit{degenerate}…
Symplectic Reduction of Sheaves of -modules
A. Mallios, P. P. Ntumba
Given an arbitrary sheaf of -modules (or -module in short) on a topological space , we define \textit{annihilator sheaves} of sub-$\mathc…
Fundamentals for Symplectic -modules
Anastasios Mallios, Patrice P. Ntumba
Sheaf theoretically based Abstract Differential Geometry incorporates and generalizes all the classical differential geometry. Here, we undertake to partially explore the implicati…
Topos-theoretic Relativization of Physical Representability and Quantum Gravity
Elias Zafiris, Anastasios Mallios
In the current debate referring to the construction of a tenable background independent theory of Quantum Gravity we introduce the notion of topos-theoretic relativization of physi…
Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold
Anastasios Mallios, Ioannis Raptis
The smooth gravitational singularities of the differential spacetime manifold based General Relativity (GR) are viewed from the perspective of the background manifold independent a…
Space-time foam dense singularities and de Rham cohomology
A. Mallios, E. E. Rosinger
In an earlier paper of the authors it was shown that the sheaf theoretically based recently developed abstract differential geometry of the first author can in an easy and natural…