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Community Bot
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The question of which manifolds admit a free involution seems natural enough, yet I couldn't find much about it online. It's not hard to see that such a manifold must be a boundary, but as pointed out in the answer hereas pointed out in the answer here that is not enough. I'm wondering whether there are any nice characterizations of these manifolds, hopefully with an algebraic topological flavor (so e.g. is this condition preserved under homotopy equivalence?)

The question of which manifolds admit a free involution seems natural enough, yet I couldn't find much about it online. It's not hard to see that such a manifold must be a boundary, but as pointed out in the answer here that is not enough. I'm wondering whether there are any nice characterizations of these manifolds, hopefully with an algebraic topological flavor (so e.g. is this condition preserved under homotopy equivalence?)

The question of which manifolds admit a free involution seems natural enough, yet I couldn't find much about it online. It's not hard to see that such a manifold must be a boundary, but as pointed out in the answer here that is not enough. I'm wondering whether there are any nice characterizations of these manifolds, hopefully with an algebraic topological flavor (so e.g. is this condition preserved under homotopy equivalence?)

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Pedro
Pedro
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Which manifolds admit free involutions?

The question of which manifolds admit a free involution seems natural enough, yet I couldn't find much about it online. It's not hard to see that such a manifold must be a boundary, but as pointed out in the answer here that is not enough. I'm wondering whether there are any nice characterizations of these manifolds, hopefully with an algebraic topological flavor (so e.g. is this condition preserved under homotopy equivalence?)