3 citations · 4 across the 5 of their papers we have counts for
7 papers
Path-Connectedness of the Hyperspace of Compact Subsets of
Bryant Rosado Silva, Rodney Josué Biezuner
When one considers the collection of all compact subsets of and equip it with a topology, many questions can be asked about the topologic…
An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized fiel…
On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary quest…
Geometric Obstructions on Gravity
Yuri Ximenes Martins, Rodney Josué Biezuner
These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's pape…
Geometric Regularity Results on -Manifolds, I: Affine Connections
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we consider existence and multiplicity results concerning affine connections on -manifolds whose coefficients are as regular as one needs, following the re…
Existence of -Structures on -Manifolds
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we introduce -manifolds as generalizations of the notion of smooth manifolds with -structure or with -bounded geometry. These are -manifolds…