Jamie Scott

collaborators

3 papers

math.AT2021

Surgery Applications to a Generalized Rudyak Conjecture

Jamie Scott

Rudyak's conjecture states that cat $(M) \geq$ cat $(N)$ given a degree one map $f : M \to N$ between closed manifolds. We generalize this conjecture to sectional category, and follow…

math.AT2020

On the Topological Complexity of Maps

Jamie Scott

We define and develop a homotopy invariant notion for the topological complexity of a map $f : X \to Y$ , denoted TC( $f$ ), that interacts with TC( $X$ ) and TC( $Y$ ) in the same way cat(…

math.AT2020

Surgery Approach to Rudyak's Conjecture

Alexander Dranishnikov, Jamie Scott

Using the surgery we prove the following: THEOREM. Let $f : M \to N$ be a normal map of degree one between closed manifolds with $N$ being $(r - 1)$ -connected, $r \geq 1$ . If $N$ satisfi…