Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Bauval, A."'
Let $M$ be a closed 3-manifold which admits the geometry $S^2\times \R$. In this work we determine all the free involutions $\tau$ on $M$, and the Borsuk-Ulam index of $(M,\tau)$.
Externí odkaz:
http://arxiv.org/abs/2011.00657
Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions ${\tau}$ on M and the Borsuk-Ulam index of $(M,{\tau})$.
Externí odkaz:
http://arxiv.org/abs/2001.06368
Let M be a Seifert manifold which belongs to the geometry Flat. In this work we determine all the free involutions {\tau} on M, and the Borsuk-Ulam indice of (M,{\tau}).
Externí odkaz:
http://arxiv.org/abs/1807.00159
Autor:
Bauval, Anne
If the continued fractions of two irrational numbers have a common complete quotient, then these two numbers are in the same orbit under the action of $\mathrm{PGL}(2,\mathbb{Z})$. The converse is Serret's well-known theorem, but we give a simpler an
Externí odkaz:
http://arxiv.org/abs/1706.06082
Autor:
Bauval, Anne
For simplicial modules, Eilenberg-Zilber's classical theorem states the existence of a product $sh : M\otimes N\to M\times N$ (the shuffle) and a coproduct $AW : M\times N\to M\otimes N$ (the Alexander-Whitney map), which are quasi-inverse of eachoth
Externí odkaz:
http://arxiv.org/abs/1611.08437
Autor:
Bauval, A.
Publikováno v:
RMS (Revue des Math\'ematiques de l'Enseignement Sup\'erieur), n{\deg} 127-3, 2017
We reprove twice, in a simpler but as elementary way, a result by Hor\'ak and Skula (1985) who determined, among all sequences of integers defined by $$u_1=1,\quad u_2=R,\quad u_{n+2}=Pu_{n+1}-Qu_n$$ for some integers $P,Q,R$, those which satisfy the
Externí odkaz:
http://arxiv.org/abs/1606.01594
Autor:
Bauval, A., Hayat, C.
It is classical that given any Seifert structure on N, Reidemeister-Schreier's algorithm produces a presentation of all index 2 subgroups of the fundamental group of N, described as the fundamental group of some Seifert manifolds. The new result of t
Externí odkaz:
http://arxiv.org/abs/1409.8587
Autor:
Bauval, Anne
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 Littlewood's proof of 1941, but reduces it to more elementary and constru
Externí odkaz:
http://arxiv.org/abs/1407.1777
Autor:
Bauval, Anne
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 elementary arguments, we give a correct and shorter proof.
Externí odkaz:
http://arxiv.org/abs/1406.6809
Autor:
Bauval, A., Hayat, C.
The cohomology ring with coefficients in $\Z_p$, where $p$ is a prime integer, of a Seifert manifold $M$, orientable or not orientable is obtained from a simplicial decomposition of $M$. Many choices must be made before applying Alexander-Whitney for
Externí odkaz:
http://arxiv.org/abs/1202.2818