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Obstruction Theory
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, obstruction theory is a name given to two different mathematical theories, both of which yield cohomological invariants. he older meaning for obstruction theory in homotopy theory relates to a procedure, inductive with respect to dimension, for extending a continuous mapping defined on a simplicial complex, or CW complex. Traditionally called Eilenberg obstruction theory, after Samuel Eilenberg. It involves cohomology groups with coefficients in homotopy groups to define obstructions to extensions. For example, with a mapping from a simplicial complex X to another, Y, defined initially on the 0-skeleton of X (the vertices of X), an extension to the 1-skeleton will be possible whenever Y is sufficiently path-connected. Extending from the 1-skeleton to the 2-skeleton means filling in the images of the solid triangles from X, given the image of the edges.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131021046
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B220mm
- EAN 9786131021046
- Format Fachbuch
- Titel Obstruction Theory
- Herausgeber Betascript Publishing
- Anzahl Seiten 100
- Genre Mathematik
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