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math.AT2026
Parametrized LS category and group actions
Urban Ogrinec, Petar Pavešić
We introduce a new invariant associated to an action of a group on a (possibly non-commutative) group . The invariant is based on the -parametrized LS-category of the sem…
math.AT2026
A canonical splitting of the first homology group of Peano continua
Gregory R. Conner, Wolfgang Herfort, Curtis Kent +1
The first singular homology of a Peano continuum with torsion-free first Cech homology, , splits as where is the homology s…