: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
Rien van de Weygaert, Erwin Platen, Gert Vegter, B...
Topological relations between geographic regions are of interest in many applications. When the exact boundaries of regions are not available, such relations can be established by...
Steven Schockaert, Philip D. Smart, Alia I. Abdelm...
With the rapid and dramatic increase in web feeds published by different publishers, providers or websites via Really Simple Syndication (RSS) and Atom, users cannot be expected t...
The World Wide Web grows through a decentralized, almost anarchic process, and this has resulted in a large hyperlinked corpus without the kind of logical organization that can be...
David Gibson, Jon M. Kleinberg, Prabhakar Raghavan