A Borsuk-Ulam type theorem for the product of a projective space and 3-sphere

DOI10.1016/j.topol.2017.04.005zbMath1377.57034OpenAlexW2605816592MaRDI QIDQ529095

Tej Bahadur Singh, Hemant Kumar Singh, Somorjit Konthoujam Singh

Publication date: 18 May 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.04.005

zbMATH Keywords

equivariant mapsfree actionLeray-Serre spectral sequencefinitistic spaceBorel's constructionBorsuk-Ulam type theoremsmod 2 cohomology algebra

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Topological transformation groups (57S99) Equivariant homotopy theory in algebraic topology (55P91) Serre spectral sequences (55T10)

Related Items (4)

Parametrized Borsuk-Ulam theorems for free involutions on \(\mathbb{F} P^m \times \mathbb{S}^3\) ⋮ Cohomology algebra of orbit spaces of free involutions on the product of projective space and 4-sphere ⋮ Borsuk-Ulam theorems and their parametrized versions for \(\mathbb {F}P^m\times \mathbb {S}^3\) ⋮ Indices of a finitistic space with \(\bmod 2\) cohomology \(\mathbb{R} P^n \times \mathbb{S}^2\)

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