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math.AT2010★ 1 cited
A simple proof of the Borsuk-Ulam theorem for Z_p-actions
Mahender Singh
In this note, we give a simple proof of the Borsuk-Ulam theorem for -actions. We prove that, if and are equipped with free -actions (p prime) and $f: S^n \to…
math.AT2010★ 13 cited
Orbit spaces of free involutions on the product of two projective spaces
Mahender Singh
Let be a finitistic space having the mod 2 cohomology algebra of the product of two projective spaces. We study free involutions on and determine the possible mod 2 cohomol…