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math.AT2020
Extreme Nonuniqueness of End-Sum
Jack S. Calcut, Craig R. Guilbault, Patrick V. Haggerty
We give explicit examples of pairs of one-ended, open 4-manifolds whose end-sums yield uncountably many manifolds with distinct proper homotopy types. This answers strongly in the…
math.AT2013★ 4 cited
Connected sum at infinity and 4-manifolds
Jack S. Calcut, Patrick V. Haggerty
We study connected sum at infinity on smooth, open manifolds. This operation requires a choice of proper ray in each manifold summand. In favorable circumstances, the connected sum…