4 papers
Just-Infinite Loops and Loop Algebras
Thales Fernando Vilamaior Paiva
Let be a field and let be a loop. We call just-infinite if it is infinite and every nontrivial normal subloop has finite index, and we call the possibly nonassociative…
A Cohomological Obstruction to the Existence of -Equivariant Maps
Thales Fernando Vilamaior Paiva
Let be a continuous homomorphism between compact Lie groups, let be a -space, and let be an -space. We formulate a filtered change-of-groups obstruction t…
Pasting and stability in convergence spaces
Renan Maneli Mezabarba, Rodrigo Santos Monteiro, Thales Fernando Vilamaior Paiva
We prove a pasting lemma for locally finite closed covers of convergence spaces with limit codomains. We also show how the validity of such lemmas characterizes limit spaces.
Cohomology algebra of orbit spaces of free involutions on some Wall manifolds
Thales Fernando Vilamaior Paiva, Edivaldo Lopes dos Santos
In this paper, we investigate the existence of free involutions on some Wall manifolds and we compute the mod 2 cohomology algebra of the correspondent orbit space.