Obstruction theory

ID: obstruction-theory

Obstruction theory is a branch of algebraic topology that deals with the conditions under which a certain kind of mathematical object, usually a topological space or a geometrical structure, can be extended or approximated. It provides tools to study when a certain problem can or cannot be solved by considering the "obstructions" that prevent it from being extendable. One of the main frameworks of obstruction theory is through the use of cohomology theories.

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