Type theory and homotopy theory have evolved into profoundly interconnected disciplines. Type theory, with its foundations in logic and computer science, provides a formal language for constructing ...

Homotopy theory is a cornerstone of modern algebraic topology, concerned with the study of spaces up to continuous deformations. This approach characterises topological spaces by their intrinsic ...

In his paper On the groups J(X). IV, Adams suggested that one might try to continue his d and e invariants to a sequence of higher homotopy invariants, each defined upon the vanishing of its ...

Boardman, who specialized in algebraic and differential topology, was renowned for his construction of the first rigorously correct model of the homotopy category of spectra, a branch of mathematics ...

This is a preview. Log in through your library . Abstract The category of towers of spaces, ... → Xs+1 → Xs → ... → X0, viewed as pro-spaces, appears to be useful in the study of the relation between ...

Dennis Sullivan has always been driven by mathematical insights that are general and beautiful and have the power to amaze — “something that grabs you, like a piece of music,” he said. An encounter ...