Homotopy excision theorem

In algebraic topology, the homotopy excision theorem offers a substitute for the absence of excision in homotopy theory. More precisely, let $(X; A, B)$ be an excisive triad with $C = A \cap B$ nonempty, and suppose the pair $(A, C)$ is ( $m-1$ )-connected, $m \ge 2$ , and the pair $(B, C)$ is ( $n-1$ )-connected, $n \ge 1$ . Then the map induced by the inclusion $i: (A, C) \to (X, B)$

单词	Homotopy excision theorem
释义	Homotopy excision theorem 英语百科 Homotopy excision theorem In algebraic topology, the homotopy excision theorem offers a substitute for the absence of excision in homotopy theory. More precisely, let $(X; A, B)$ be an excisive triad with $C = A \cap B$ nonempty, and suppose the pair $(A, C)$ is ( $m-1$ )-connected, $m \ge 2$ , and the pair $(B, C)$ is ( $n-1$ )-connected, $n \ge 1$ . Then the map induced by the inclusion $i: (A, C) \to (X, B)$
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