Jamie Scott

activity

20172021

collaborators

4 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…

math.OA2017

Condition (K) for inverse semigroups and the ideal structure of their $C^{*}$ -algebras

Scott M. LaLonde, David Milan, Jamie Scott

Inspired by results for graph $C^{*}$ -algebras, we investigate connections between the ideal structure of an inverse semigroup $S$ and that of its tight $C^{*}$ -algebra by relating ide…

Surgery Applications to a Generalized Rudyak Conjecture

On the Topological Complexity of Maps

Surgery Approach to Rudyak's Conjecture

Condition (K) for inverse semigroups and the ideal structure of their C∗-algebras

Condition (K) for inverse semigroups and the ideal structure of their $C^{*}$ -algebras