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The strict globular $\omega$-categories formalize the execution paths of a parallel automaton and the homotopies between them. One associates to such (and any) $\omega$-category $\C$ three homology theories. The first one is called the globular homology. It contains the oriented loops of $\C$. The two other ones are called the negative (resp. positive) corner homology. They contain in a certain manner the branching areas of execution paths or negative corners (resp. the merging areas of execution paths or positive corners) of $\C$. Two natural linear maps called the negative (resp. the positive) Hurewicz morphism from the globular homology to the negative (resp. positive) corner homology are constructed. We explain the reason why these constructions allow to reinterprete some geometric problems coming from computer science.

The strict globular $\omega$-categories formalize the execution paths of a parallel automaton and the homotopies between them. One associates to such (and any) $\omega$-category $\C$ three homology theories. The first one is called the globular homology. It contains the oriented loops of $\C$. The two other ones are called the negative (resp. positive) corner homology. They contain in a certain manner the branching areas of execution paths or negative corners (resp. the merging areas of execution paths or positive corners) of $\C$. Two natural linear maps called the negative (resp. the positive) Hurewicz morphism from the globular homology to the negative (resp. positive) corner homology are constructed. We explain the reason why these constructions allow to reinterprete some geometric problems coming from computer science.

"I am of the company of book men who read simply for the love of it," confesses E. Walter Walters, in this gently written tome. Walters documents his habit of "book fishing--" seeking and finding quality volumes in the discount binds at his booksellers, and as a connoisseur of wine might match varieties with courses, he matches his books with the contexts in which he reads them--in the garden, in the bedroom, with friends. He also provides a list of his favorite authors (mostly 19th century United Kingdom) and favorite books, as well as favorite characters from the books he has read, not in a way to impose his choices on other readers, but to share his own personal experiences. (summary by Dr. P. Gould)