New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory

This book presents an alternative to what the topologists refer to as “Morse-Novikov theory”, a mathematical theory which belongs to the fields of geometry and topology. The theory presented has interest in topology and dynamics, has provided inspiration and has applications outside of mathematics, especially in data analysis and shape recognitions in physics and computer science.It describes a new class of invariants associated with a generic continuous real or angle valued map defined on…