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Results tagged with at.algebraic-topology
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user 501481
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Null-homotopicness of an inclusion map
Let $K$ and $L$ be simplicial complexes such that 1) $L\subseteq K$; 2) $K$ is homotopic to $S^4$; 3) $L$ is homotopic to $S^6$.
Is the inclusion map from $L$ to $K$ null-homotopic?
Thanks!
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Generalized Cones
Let $K$ be a simplicial complex and $A$ be a subcomplex of $K$ such that $A$ is contractible. Suppose that for any simplex $\sigma\in K\setminus A$ and any vertex $v\in A$, $\sigma\cup \{v\}$ is a sim …