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A study of -valued non-split maps and applications
Daciberg Lima Gonçalves, Bartira Maués, Daniel Vendrúscolo
For a given -valued map, there exists a suitable minimal covering of the domain such that the composition of this covering with the map yields a split map, composed of singl…
Nielsen-Borsuk-Ulam number for maps between tori
Givanildo Donizeti de Melo, Daniel Vendrúscolo
We compute the Nielsen-Borsuk-Ulam number for any selfmap of torus, , as well as any free involution in , with . Finally, we conc…
Involutions on sapphire Sol 3-manifolds and the Borsuk-Ulam theorem for maps into
Alexandre Paiva Barreto, Daciberg Lima Gonçalves, Daniel Vendrúscolo
For each sapphire Sol -manifold, we classify the free involutions. For each triple where is a sapphire Sol -manifold and is a free involution, we show i…
Jiang-type theorems for coincidences of maps into homogeneous spaces
Daniel Vendrúscolo, Peter Wong
Let be maps from a closed connected orientable manifold to an orientable coset space where is a compact connected Lie group, a closed subgroup a…