Thales Fernando Vilamaior Paiva

activity

20202026

collaborators

4 papers

math.RA2026

Just-Infinite Loops and Loop Algebras

Thales Fernando Vilamaior Paiva

Let $F$ be a field and let $L$ be a loop. We call $L$ just-infinite if it is infinite and every nontrivial normal subloop has finite index, and we call the possibly nonassociative…

math.AT2026

A Cohomological Obstruction to the Existence of $ϕ$ -Equivariant Maps

Thales Fernando Vilamaior Paiva

Let $ϕ : G \to H$ be a continuous homomorphism between compact Lie groups, let $X$ be a $G$ -space, and let $Y$ be an $H$ -space. We formulate a filtered change-of-groups obstruction t…

math.AT2024

A net theoretic approach to homotopy theory

Renan Maneli Mezabarba, Rodrigo Santos Monteiro, Thales Fernando Vilamaior Paiva

This paper uses a net-theoretic approach to convergence spaces, aimed to simplify the description of continuous convergence in order to apply it in problems concerning Homotopy The…

math.AT2020

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.

Just-Infinite Loops and Loop Algebras

A Cohomological Obstruction to the Existence of ϕ-Equivariant Maps

A net theoretic approach to homotopy theory

Cohomology algebra of orbit spaces of free involutions on some Wall manifolds

A Cohomological Obstruction to the Existence of $ϕ$ -Equivariant Maps