3 papers
math.DG2026
Topological Obstructions to Riemannian-Lorentzian Continuation
Nathalie E. Rieger, Ödül Tetik
Motivated by problems in instanton continuation, we establish geometro-topological selection rules for continuing a Riemannian region into a Lorentzian region through a smooth tran…
math.AT2023
Linked spaces and exit paths
Ödül Tetik
Conically smooth spaces (CSSs), introduced by Ayala, Francis and Tanaka, constitute a large class of singular spaces including Whitney-stratified spaces. We reduce the stratified t…
math.AT2022
The stratified Grassmannian and its depth-one subcategories
Ödül Tetik
We introduce a tangential theory for linked smooth manifolds of depth , i.e., for spans of smooth man…