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Results tagged with at.algebraic-topology
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user 155854
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Is surjectivity in singular homology stable under pullbacks?
Consider the pullback of a (Hurewicz) fibration $p\colon E \longrightarrow B$ along any map $f$ and let $p'$ denote the base change of $p$ in the pullback. Suppose that $H_*(p)$, the induced homomorph …
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Connectivity of a induced map between homotopy pullbacks
Consider cospans of continuous maps $A\stackrel{f}{\rightarrow }C\stackrel{g}{\leftarrow }B$ and $A'\stackrel{f'}{\rightarrow }C'\stackrel{g'}{\leftarrow }B'$ along with maps $\alpha :A\to A'$, $\beta …