Jamie Scott

activity

20172021

collaborators

Showing 2020Show all

2 papers · 1 filter

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…