The continuation theory for Morse decompositions and connection matrices
The continuation theory for Morse decompositions and connection matrices
The continuation theory for (<inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="greater-than"> <mml:semantics> <mml:mo>></mml:mo> <mml:annotation encoding="application/x-tex">></mml:annotation> </mml:semantics> </mml:math> </inline-formula>-ordered) Morse decompositions and the indices defined on them—the homology index braid and the connection matrices—is established. The equivalence between <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="greater-than"> <mml:semantics> <mml:mo>></mml:mo> <mml:annotation encoding="application/x-tex">></mml:annotation> </mml:semantics> </mml:math> </inline-formula>-ordered Morse decompositions and …