We give an explicit description of the rigidification $\infty$-operad as a simplicial operad. This is based on notion dendroidal necklace, extending work Dugger and Spivak from categorical context to operadic context, although with different framework, which relates constructions involving necklaces standard factorization maps in category trees.

Abstract In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labeled by their mass. We show that are situations with many more holes. study asymptotically anti-de Sitter in six and seven dimensions having conformal boundary which product spheres cross time. the number families holes depends on ratio, λ , radii sph...