Obstruction Theory

Herausgegeben:Surhone, Lambert M.; Timpledon, Miriam T.; Marseken, Susan F.

• Broschiertes Buch

Produktbeschreibung

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 imageof the edges.

Produktdetails

• Verlag: Betascript Publishing
• Seitenzahl: 100
• Englisch
• Abmessung: 220mm
• ISBN-13: 9786131021046
• ISBN-10: 613102104X
• Artikelnr.: 29875400