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math.AT2024
Ends and end cohomology
William G. Bass, Jack S. Calcut
Ends and end cohomology are powerful invariants for the study of noncompact spaces. We present a self-contained exposition of the topological theory of ends and prove novel extensi…
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…