It is well known that the homotopy category of connected CW-complexes X whose homotopy groups n;(X) are trivial for i> 1 is equivalent to the category of groups. One of the objects of this paper is to prove a similar equivalence for the connected CW-complexes X whose homotopy groups are trivial for i > n + 1 (where n is a fixed non-negative integer). For n = 1 the notion of crossed module inven...

While long ignored, the philosophy of Alfred North Whitehead has attracted considerable interest and wide academic reception since 2000s. One reason for renewed in Whitehead’s work is most certainly that his concepts offer a way out dualistic schemes thought have dominated conceptual framework West modernity. In my paper, I focus on undoing opposition between nature subjectivity, it crucial asp...

In a condensed moment quite typical of the overstated bombast appropriate to a philosopher who was in his heart very much a metaphysician, Alfred North Whitehead once wrote that, “The creation of the world . . . is the victory of persuasion over force” (1933, 90). The metaphysics of Whitehead was a metaphysics of process, one variant of what I have called elsewhere a philosophy of transitions.1...

This paper examines irreversible investment in a project with uncertain returns, when there is an advantage to being the first to invest and externalities to investing when others also do so. We show that the possibility of pre-emption can have significant qualitative and quantitative effects on the relationship between uncertainty and investment. In a single-agent real options model, the trigg...

The reduced anisotropic unitary Whitehead groups of henselian division algebras with involutions are computed in the cases where centers residue special types.

Kazuo Ishiguro’s seventh novel The Buried Giant (2015) investigates the concept of memory in a fantastical tale which is set early medieval history post-Roman period. In pattern quest, main characters embark on journey to accomplish their mission. As for Axl and Beatrice, an elderly couple, it find son recall lost memories. For Wistan, Saxon warrior, terminate she-dragon named Querig whose magi...

"Sublimely non-tendentious," that's the phrase I've always attributed to Alfred North Whitehead -a man who began his career as a Cambridge mathematician collaborating with Bertrand Russell and ended that career as a Harvard philosopher and metaphysician. Two things you can count on when reading Whitehead. First, he will look at the big picture. Second, he will generously give to all historical ...