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 ...

I am an algebraic topologist and a stable homotopy theorist. I study chromatic homotopy theory and its interactions with equivariant homotopy theory. I also work with condensed matter physicists to ...

The foundations of equivariant homotopy and cellular theory are examined; an equivariant Whitehead theorem is proved, and the classical results by Milnor about spaces ...

https://doi.org/10.2307/1970703 • https://www.jstor.org/stable/1970703 Copy URL ...

$\bullet$ Homotopy theory and Higher Algebra. $\bullet$ Algebraic $K$-theory. $\bullet$ Field theories and mathematical Physics. $\bullet$ (topological) Hochschild ...

The subject matter of topology are discrete invariants of topological spaces (for example smooth manifolds) and maps between them. The simplest such invariant is the winding number of a curve in the ...

The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded. In early June, buzz built as ...