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math.AT2026
Semi-topological Galois cohomology and Weierstrass realizability
Jyh-Haur Teh
Semi-topological Galois theory associates a canonical finite splitting covering to a monic Weierstrass polynomial. The inverse limit of the corresponding deck groups defines the ab…
math.AT2026
Topological fundamental groups of locally finite infinite configuration spaces and infinite braids
Jyh-Haur Teh
We study the topological fundamental groups of the locally finite infinite ordered configuration space \(Conf^{lf}_\infty(\C)\) in the plane and the homotopy quotient of $Conf^{lf}…
math.AT2025
The asphericity of locally finite infinite configuration spaces and Weierstrass entire coverings
Jyh-Haur Teh
Let $Conf^{lf}_{\infty}(\C)$ and $C^{lf}_{\infty}(\C)$ denote the locally finite infinite ordered and unordered configuration spaces of the complex plane. We prove that both $Conf^…