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 and algebraic structures constitute a vibrant intersection of topology and algebra, addressing questions of equivalence and invariance under continuous deformations. This field ...

We prove existence theorems representing homotopy classes by p-harmonic maps of least p-energy, and representing nthhomotopy classes by n-harmonic maps, generalizing theorems of Cartan and ...

Cooke [7] studied the problem of replacing homotopy actions by topological actions. In this paper, we use Cooke's results to show that this can always be done for a large class of spaces having few ...

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 ...

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