4 citations · 7 across the 7 of their papers we have counts for
7 papers
The Borsuk-Ulam theorem for closed -manifolds having geometry
A. Bauval, D. L. \ Gonçalves, C. Hayat +1
Let be a closed 3-manifold which admits the geometry . In this work we determine all the free involutions on , and the Borsuk-Ulam index of .
The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry
A. Bauval, D. L. Gonçalves, C. Hayat
Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions on M and the Borsuk-Ulam index of .
The Borsuk-Ulam theorem for the Seifert manifolds having flat geometry
A. Bauval, D. L. Gonçalves, C. Hayat
Let M be a Seifert manifold which belongs to the geometry Flat. In this work we determine all the free involutions τ on M, and the Borsuk-Ulam indice of (M,τ).
Littlewood's proof of the fundamental theorem of algebra: a simpler version
Anne Bauval
We present an elementary proof of the fundamental theorem of algebra, following Cauchy's version but avoiding his use of circular functions. It is written in the same spirit as Lit…
An elementary proof of the halting property for Chakravala algorithm
Anne Bauval
In 1930, A.A.K. Ayyangar allegedly produced the missing proof that the ancient Indian Chakravala algorithm, designed to solve Pell's equation, always halts. Refining his own elemen…
A classification of special 2-fold coverings
Anne Bauval, Daciberg L Goncalves, Claude Hayat +1
Starting with an O(2)-principal fibration over a closed oriented surface F_g, g>=1, a 2-fold covering of the total space is said to be special when the monodromy sends the fiber SO…