3 papers
math.AT2026
On periodic homotopy and homology equivalences of spaces
Shaul Barkan, Gijs Heuts, Yuqing Shi
There are at least two ways to approach the homotopy theory of spaces `at chromatic height ': one may localize with respect to -homology or with respect to -periodic…
math.AT2024
Universal property of the Bousfield--Kuhn functor
Yuqing Shi
We present a universal property of the Bousfield--Kuhn functor of height , for every positive natural number . This result is achieved by proving that the…
math.AT2020
Goodwillie's cosimplicial model for the space of long knots and its applications
Yuqing Shi
We work out the details of a correspondence observed by Goodwillie between cosimplicial spaces and good functors from a category of open subsets of the interval to the category of…