Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows
Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows
In this article, we present a dynamical homotopical cancellation theory for Gutierrez-Sotomayor singular flows $\varphi$, GS-flows, on singular surfaces $M$. This theory generalizes the classical theory of Morse complexes of smooth dynamical systems together with the corresponding cancellation theory for non-degenerate singularities. This is accomplished by defining a GS-chain complex …