Thales Fernando Vilamaior Paiva

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20202026

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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

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.

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.

A Cohomological Obstruction to the Existence of ϕ-Equivariant Maps

Pasting and stability in convergence spaces

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

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