were disbanded because of hooliganism. They have been restarted in this century and take place on the first weekend in May. The games consisted of various contests at single stick (backsword), wrestling, running, jingling, Morris dancing, greyhound coursing and horse racing. It is said that Shakespeare, whose aunt Joan Arden lived at Barton on the Heath, attended the games and included scenes f...

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Due to network effects and switching costs, platform providers often become entrenched. To dislodge them, entrants generally must offer revolutionary products. We explore a second path to platform leadership change that does not rely on Schumpeterian creative destruction: platform envelopment. By leveraging common components and shared user relationships, one platform provider can move into ano...

The aim of the geometric quantization program is to describe a quantization procedure in terms of natural geometric structures. To date, this program has succeeded in unifying various older methods of quantizing finite dimensional physical systems. The generalization to infinite-dimensional systems (for example, field theories) remains an active area of research. As such, we will restrict our a...

We prove that the bounded complex of an affine oriented matroid is pure and collapsible. We also generalize Zaslavsky’s Central Decomposition Theorem for hyperplane arrangements to affine oriented matroids.

We discuss issues related to constructing an orthomodular structure from an object in a category. In particular, we consider axiomatics related to Baer *-semigroups, partial semigroups, and various constructions involving dagger categories, kernels, and biproducts.

We present a characterisation of { 1(q+1)+ 0, 1;n, q}-minihypers, q square, q = ph, p > 3 prime, h ≥ 2, q ≥ 1217, for 0+ 1 < q 7/12 2 − q1/4 2 . This improves a characterisation result of S. Ferret and L. Storme [6], involving more Baer subgeometries contained in the minihyper.

We extend the Billera–Ehrenborg–Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements. For toric arrangements, we also generalize Zaslavsky’s fundamental results on the number of regions. Résumé. Nous étendons l’opérateur de Billera–Ehrenborg–Readdy entre la trellis d’intersection et la trellis de faces d’un ...