PI1: Fernando Muro PI2: Ramón J. Flores Abstract: Since their inception as fields of science at the beginning of the XX century, topology and group theory have followed parallel path more often than not. Interaction between them are prevasive. For instance, unstable homotopy theory grew interwoven with finite and compact Lie group theory. The modern …
PI: Fernando Muro Abstract: Triangulatec categories play a central role in several areas of mathematics and theoretical physics. However, this algebraic structure is not yet known well enough. There are upsetting results related to invariants such as K-theory: we know there cannot be any reasonable K-theory for triangulated categories, yet we can recover the …
Triangulated structures in algebra, geometry, and topology Leer más »
