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Results tagged with at.algebraic-topology
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user 397525
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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If $H_i(U_j)=0$ for infinitely many $j$ then $H_i(X)=0$ [closed]
Let $X$ be a topological space and $U_i$ open subsets. If $U_i\subset U_{i+1}$ and $\bigcup^{\infty}_{i=1}U_i=X$. How can I prove that if for infinitely many $j$, the $i$-th homology vanishes $H_i(U_j …
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