On the covering type of a space
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🧮 math.AT
keywords
spacecontractiblecoveringnotiontypearisescategorycomplexity
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We introduce the notion of the "covering type" of a space, which is more subtle that the notion of Lusternik Schnirelman category. It measures the complexity of a space which arises from coverings by contractible subspaces whose non-empty intersections are also contractible.
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