On Bellamy's Set Function $\Gamma$
Keywords:
continuous decomposition, Hausdorff continuum, homogeneous space, idempotency, idempotency on closed sets, Jones' aposyndetic decomposition, lower semicontinuous decomposition, metric continuum, set function $\Gamma$, set function T, upper semicontinuous decompositionAbstract
David P. Bellamy defined a set function $\Gamma$ in his paper Some topics in modern continua theory [Continua, Decompositions, Manifolds, Austin, TX: University of Texas Press, 1983, 126]. We investigate this set function and prove his conjecture.
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