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Homotopy theory, homological algebra, algebraic treatments of manifolds.

4 votes
1 answer
189 views

Delooping a weak $E_1$ map by bar construction

Consider based maps $f : X \to Z$ and $g : Y \to Z$, which induces the following map at the based loop space level : $$\theta := \mu_Z \circ \big(\Omega f \times \Omega g) : \Omega(X\times Y) = \Omega …
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