Juan Marquez

juanmanuel marquezbobadilla

my standard is eom

User:Juan Marquez/Bildnis

Juan Manuel Márquez Bobadilla ph.d. candidate at CIMAT and math-lecturer at the Dept. of Mathematics, campus CUCEI, Universidad de Guadalajara.

• Reseach field: low-dimensional topology, 3-manifolds, fiber bundles, Topology change, Seifert homology spheres and plumbed V- manifolds.

Thesis: tri-genus and splittings of surface bundles over ${\displaystyle S^{1}}$ with non-orientable fibers, periodic monodromies

• My 1st article [1] with MR2347033. It is on trigenus of surface bundles, a kind of 3-manifolds
• I am a Erdös number four:[2] with MR2321592 and since Fico is #3
• contacts: juanm@cimat.mx, kidvaquero@yahoo.com

• wikimedia commons uploads[3]

• OEIS

OEIS-user

a Rubik´s fan yes, i just recently learn how to solve it. See my algorithm's version at [4]. It is at a moodle´s module, to enter just check the entrar como invitado (enter as an invited) to see.

• • 2-sided
  • tri-genus
  • SFS
  • Alexander trick
  • round function
  • covecteur
  • 3-variedad
  • homeotopy
  • Loop theorem
  • Dehn lemma
  • Sphere theorem
  • Handle decompositions of 3-manifolds

Contributions in S.W. Hawking languagehere.

• Klein surface. As for Riemann surfaces, but allowing that the transition functions can be composed with complex conjugation one can obtains the so called dianalytic structure. This helps to define the Klein surface concept. A profit is that even non-orientable surfaces can have this kind of structure.
  • Refs: Klein. Schiffer and Spencer. Alling and Greenleaf. Szepietowski.

• Geometrization
• Geometric structure
• Light Cone Quantization
• 1-manifold
• 2-manifold
• Regular neighborhood
• Regular neighbourhood
• Differential geometry of surfaces
• I-bundle
• isotopy class
• Stiefel-Whitney surface
• Bass-Serre theory
• Almost-invariant set
• cabling conjecture
• N_3
• simple loop conjecture

• totopo Be'ena'a

• birria
• ceviche
• umami

${\displaystyle \scriptstyle e\longrightarrow N\longrightarrow ^{\!\!\!\!\!\!\!\!\!\beta }\ \,G\longrightarrow ^{\!\!\!\!\!\!\!\!\!\alpha }\ \,H\longrightarrow e}$

${\displaystyle \scriptstyle 1\longrightarrow N\longrightarrow ^{\!\!\!\!\!\!\!\beta }\ \,G\longrightarrow ^{\!\!\!\!\!\!\!\alpha }\ \,H\longrightarrow 1}$

${\displaystyle \scriptstyle 0\longrightarrow N\longrightarrow ^{\!\!\!\!\!\!\beta }\ \,G\longrightarrow ^{\!\!\!\!\!\!\alpha }\ \,H\longrightarrow 0}$

... seen in semidirect product

${\displaystyle \scriptstyle X{\stackrel {f}{\to }}Y}$

You will find (finally) an explanation of what was happening in Rudin's mind when he wrote his famous real analysis book: http://abstrusegoose.com/12

[5]

${\displaystyle {\mathfrak {AaBbCcDdUu}}}$

${\displaystyle \scriptstyle {\mathfrak {AaBbCcDdUu}}}$

${\displaystyle \scriptstyle \Sigma }$ ${\displaystyle \Sigma }$ scriptstyle

♥

• User:Juan Marquez/ends
• User:Juan Marquez/HNN-extensions

• esto fué la 1ra prueba del comando \scriptstyle: ${\displaystyle \scriptstyle G=\langle H,t|t^{-1}Kt=L\rangle }$ allá en wiki-ranchu

Analogy in mathematics

Deep analogies in mathematics

Deep analogies in a mathematical science

Deep analogies in a mathematical science or in a science in general

Deep analogies in science

Deep analogies in a science in general

${\displaystyle \Psi =\int \mathrm {e} ^{{\frac {1}{h}}\int ({\frac {R}{16\pi G}}-F^{2}+{\bar {\psi }}iD\psi -\lambda \varphi {\bar {\psi }}\psi +|D\varphi |^{2}-V(\varphi ))}}$

• User:Juan Marquez/Bildnis

Cloud people [6]

matiliztli

• Otto Schreier
• free group
• free product
• amalgamated product
• Jakob Nielsen
• word problem
• conjugacy problem
• isomorphism problem
• Bass-Serre theory
• Ping-pong lemma
• Geometric group theory

If

${\displaystyle \scriptstyle \pi (U_{1},x_{0})=\langle S_{1}\ |\ R_{1}\rangle \,}$ ,

${\displaystyle \scriptstyle \pi (U_{2},x_{0})=\langle S_{2}\ |\ R_{2}\rangle \,}$ and

${\displaystyle \scriptstyle \pi (U_{1}\cap U_{2},x_{0})=\langle S\ |\ R\rangle }$ .

then, ${\displaystyle \scriptstyle \pi (X,x_{0})=\langle S_{1}\cup S_{2}\ |\ R_{1}\cup R_{2}\cup \{(i_{1})_{*}(s)((i_{2})_{*}(s))^{-1},s\in S\}\rangle }$ .

Here ${\displaystyle \scriptstyle i_{1}:U_{1}\cap U_{2}\rightarrow U_{1}}$ and ${\displaystyle \scriptstyle i_{2}:U_{1}\cap U_{2}\rightarrow U_{2}}$ are the natural inclusions,then ${\displaystyle \scriptstyle (i_{1})_{*}}$ y ${\displaystyle \scriptstyle (i_{2})_{*}}$ are the induced group-morphisms ${\displaystyle \scriptstyle (i_{1})_{*}:\pi (U_{1}\cup U_{2},x_{0})\rightarrow \pi (U_{1},x_{0})}$ via ${\displaystyle \scriptstyle [\alpha ]\rightarrow (i_{1})_{*}([\alpha ]):=[i_{1}\circ \alpha ]}$ and analogously ${\displaystyle \scriptstyle (i_{2})_{*}:\pi (U_{1}\cup U_{2},x_{0})\rightarrow \pi (U_{2},x_{0})}$ via ${\displaystyle \scriptstyle [\alpha ]\rightarrow (i_{2})_{*}([\alpha ]):=[i_{2}\circ \alpha ]}$ .