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math.AT2026
Persistent Leray's spectral sequence
Edivaldo L. dos Santos, Telmo I. Acosta Vellozo
In this work, we construct a persistent version of the well-known Leray spectral sequence. More precisely, we construct a spectral sequence that computes the persistent cohomology…
math.AT2007★ 4 cited
The Implicit Function Theorem for continuous functions
Carlos Biasi, Carlos Gutierrez, Edivaldo L. dos Santos
In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on t…