e-book New Topological Invariants for Real- and Angle-Valued Maps:An Alternative to Morse–Novikov Theory

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New Topological Invariants for Real- and Angle-Valued Maps. An Alternative to Morse–Novikov Theory. leondumoulin.nl | October Pages:
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These invariants are on one side analogues of rest points, instantons and closed trajectories of vector fields and on the other side, refine basic topological invariants like homology and monodromy.

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They are associated to tame maps, considerably more general than Morse maps, that are defined on spaces which are considerably more general than manifolds. They are computable by computer implementable algorithms and have strong robustness properties. They relate the dynamics of flows that admit the map as 'Lyapunov map' to the topology of the underlying space, in a similar manner as Morse-Novikov theory does. Seller Inventory BTE More information about this seller Contact this seller 3. About this Item: Condition: New.

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More information about this seller Contact this seller 8. Published by World Scientific Publishing Co This book is printed on demand. Volume 1 Issue 2, — Issue 1, 1— The main results parallel the results for the case of real-valued map but with Novikov homology and Novikov—Betti numbers replacing standard homology and standard Betti numbers. We have not been able to recognize your IP address Online access to the content of recent issues is by subscription, or purchase of single articles. Or, visit our subscription page for instructions on purchasing a subscription.

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