Carraro, Luca (2018) Topological fundamental group and enriched monodromy equivalence. [Magistrali biennali]
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The theory of covering spaces is well-behaved when the base spaceis locally path connected and semilocally 1-connected. Following works of Brazas, by generalizing the notion of covering to that of semicovering, by defining a topological fundamental group and enriching over Top the usual monodromy functor, we get an extended theory which is well-behaved with respect to a wider class of spaces, namely locally wep-connected topological spaces.
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