Rodrigo Jesús Hernández Gutiérrez

STATUS: Looking for an artist who can draw the pseudoarc and its sexyness.

Degrees

Teaching

Facultad de Ciencias, UNAM

Semestre 2011-2: Teoría de los Conjuntos 1 con el Dr. Angel Tamariz.
Semestre 2011-1: Teoría de los Conjuntos 1 y Algebra Superior 2.

Notes and Problems on Set Theory

I am in the process of writing notes of the basic course on Set Theory, in the way I like to give it. The latest version (February 2011) of the notes is here and some exercises (in spanish) I have been using are here.

Research

My main interest is General Topology. Some topics I consider interesting are Compactifications, Continua, Hyperspaces and Applications of Set Theory to Topology.

08. Countable Dense Homogeneity and the Double Arrow Space, preprint comming soon...
07. Non-meager P-filters are Countable Dense Homogeneous, (with H) submitted to Colloquium Mathematicum April 26, 2012 version (131 kB)
06. Spaces of Remote Points, (with H and TM) Top. Applications (2012), in press (Proceedings of the TopoSym 2011) (193 kB)
05. Rigidity of Symmetric Products, (with MV) submitted to Top. Applications February 3, 2012 version (220 kB)
04. Rigidity of Hyperspaces, (with I and MV) submitted to Rocky M. J. of Math.sample? February 3, 2012 version (252 kB)
03. Disconnectedness Properties of Hyperspaces, (with TM) Comment. Math. Univ. Carolin. 52, 4 (2011), 569-591 (255 kB)
02. Uniqueness of Hyperspaces for Peano Continua, (with I and MV) to be published in Rocky M. J. of Math. (370 kB)
01. Dendrites and Symmetric Products, (with A and MV) Glas. Mat., III. Ser. 44, No. 1 (2009), 195-210 (413 kB)

Coauthors

[A] Gerardo Acosta.
[H] Michael Hrušák.
[I] Alejandro Illanes.
[TM] Angel Tamariz-Mascarúa.
[MV] Verónica Martínez-de-la-Vega.

Talks

Research Conferences

2012 Spring Topology Conference, march 2012. Countable Dense Homogeneous Filters (650 kB)
2011 Prague Topological Symposium, august 2011. Classifying spaces of Remote Points for some Metrizable Spaces (964 kB)
2010 Japan-Mexico International Conference on Topology and its Applications, september 2010. Disconnectedness properties of Hyperspaces (388 kB)
2010 International Conference on Topology and its Applications, june 2010. The problem of unique hyperspaces for Peano continua (943 kB)

Summaries

Winter School in Abstract Analysis, section Set Theory, febrero 2011. Remote Points and Extremal Disconnectedness (164 kB)
Taller Estudiantil de Continuos e Hiperespacios, noviembre 2009. Contando Composantes en Continuos Indescomponibles (135 kB)
Seminario Becarios IMATEM 2009. Espacios Booleanos (101.6 kB)
Jornadas Topología, Patzcuaro 2008. El Problema de Souslin (67 kB)
Congreso SMM 2008, summary of master's thesis. Producto de Espacios cac (112.7 kB)
EXPRIME 2007, summary of BS thesis. 45 Topological Characterization of Dendrites (106 kB)

Other documents

Curso de Ideales y Filtros en Conjuntos Numerables, notes of a course on filters and ideals on countable sets by Michael Hrušák and David Meza-Alcántara, Morelia, México, 2012 (spanish) Version 08-03-2012 (153 MB)
Propiedades que se conservan bajo Funciones Confluentes, notes of a course on confluent functions between continua given by Proffessor Wlodzimierz Charatonik, Morelia, México, 2010 (spanish) (1.4 MB)
An example of a planar group whose quasicomponent does not coincide with its component, by Professor M.I. Ursul, english version by Y. Glushchenko and E. Trevino (94 kB)
Embedding a topological group as a quasicomponent in another group, by Professor M.I. Ursul, english version by Y. Glushchenko and E. Trevino (130 kB)

Other crazy stuff