Cohomology algebra of orbit spaces of free involutions on the product of projective space and 4-sphere
نویسندگان
چکیده
Let $X$ be a finitistic space with the mod $2$ cohomology of product projective and $4$-sphere. Assume that admits free involution. In this paper we study algebra quotient by action involution derive some consequences regarding existence $\mathbb{Z}\_2$-equivariant maps between such an $n$-sphere.
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Cohomology Algebra of Orbit Spaces of Free Involutions on Lens Spaces
We determine the possible cohomology algebra of orbit space of any free involution on a mod-2 cohomology lens space X using the Leray spectral sequence associated to the Borel fibration X →֒ XZ2 −→ BZ2 . As an application we show that if X is a mod-2 cohomology lens space of dimension 2m − 1 where 4 ∤ m, then there does not exist any Z2-equivariant map S n → X for n ≥ 2, where S is equipped with...
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ژورنال
عنوان ژورنال: Portugaliae Mathematica
سال: 2023
ISSN: ['1662-2758', '0032-5155']
DOI: https://doi.org/10.4171/pm/2105