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위키데이터

• ID : Q3139850

말뭉치

1. Based on Morse homology of Morse functions, we give a new proof of the Morse-Bott inequalities for functions with non-degenerate critical manifolds.
2. In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold.
3. Another approach to proving the invariance of Morse homology is to relate it directly to singular homology.
4. The associated Morse homology is an invariant for the manifold, and equals the singular homology, which yields the classical Morse relations.
5. Morse homology were developed during the rst half of the twentieth century.
6. The Morse Homology Theorem.- Morse Theory on Grassmann Manifolds.- An Overview of Floer Homology Theories.- Hints and References for Selected Problems.- Bibliography.- Symbol Index.- Index.
7. Hutchings’ approach to the Leray-Serre spectral sequence in Morse homology couples a fiberwise negative gradient flow with a lifted negative gradient flow on the base.
8. We study the Morse homology of a vector field that is not of gradient type.
9. This problems seems difficult, and the only reference I have found is Schwarz' Morse Homology.
10. This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory.
11. This book presents in great detail all the results one needs to prove the Morse Homology theorem … .

메타데이터

위키데이터

• ID : Q3139850

Spacy 패턴 목록

• [{'LOWER': 'morse'}, {'LEMMA': 'homology'}]