Talks
Slides for some of my talks, in reverse chronological order, are
available below:
- The metric and compact hedgehogs pointfreely, (with Igor Arrieta, Imanol Mozo Carollo, Jorge Picado, and Joanne Walters-Wayland)
International Conference on Topology, Algebra and Category Theory, University of South Africa, September 2022.
- The frame of the metric hedgehog and a cardinal extension of normality, (with Imanol Mozo Carollo, Jorge Picado, and Joanne Walters-Wayland)
Workshop on Algebra, Logic and Topology, in honour of Aleš Pultr, Coimbra, Portugal, September 2018.
- Complete many-valued lattices, (with Ulrich Höhle)
The 2nd International Symposium on Fuzzy Topology and Related Topics, Beijing, China, May 2017.
- The unit circle pointfreely,
ATC 2016: Symposium on Algebra, Topology and Category Theory, Cape Town, South Africa, March 2016.
- Fuzzy metrics, fuzzy topologies and fuzzy uniformities; a survey,
Workshop on Applied Topological Structures, Valencia, Spain, September 2015.
- Around the frame of reals: extended and partial reals and the unit circle in Pointfree
Topology, (with Imanol Mozo Carollo and Jorge Picado)
2015 AMS-EMS-SPM International Meeting of American Mathematical Society, the European Mathematical Society and the Portuguese Mathematical Society, Oporto, Portugal, June 2015.
- Monotone normality from a pointfree point of view,
IX Iberoamerican Conference on Topology and its Applications, Almeria, Spain, June 2014.
- On extended and partial real-valued functions in Pointfree Topology,
(with Jorge Picado)
BLAST 2013, Orange, August 2013.
- The Dedekind order completion of C(L),
(with Imanol Mozo Carollo and Jorge Picado)
TACT2012, a conference on Topology, Algebra and Category Theory, Pretoria, September 2012.
- On strict and double insertion theorems,
(with Tomasz Kubiak)
WiAT'12 - Workshop in Applied Topology, Castellón, June
2012.
- Algunos resultados sobre inserción de funciones continuas retículo-valuadas,
II Encuentro Conjunto RSME-SMM. Torremolinos,
January 2012.
- Monotone normality,
quasi-metrizable spaces and the role of the $T_1$ axiom,
26th Summer Conference on Topology and Its Applications. The
City College of New York, July 2011.
- On lattice-valued frames,
(with Ulrich Höhle and María Angeles de Prada Vicente)
Alexander Shostak's Workshop, Department of Mathematics,
University of Latvia, Riga, December 2010.
- On real valued functions in
Pointfree Topology, (with Tomasz Kubiak and Jorge
Picado)
Faculty of Mathematics and Computer Science, Adam Mickiewicz
University, Poznan, November 2010.
- How to deal with the ring of
(continuous) real functions in terms of scales,
(with Jorge Picado)
WiAT'10 - Workshop in Applied Topology, Gandia, June
2010.
- On lattice-valued frames: the
completely distributive case, (with Ulrich Höhle and
María Angeles de Prada Vicente)
Yangtze Center of Mathematics, Sichuan University, Chengdu, April 2010.
- Separating families of locale
maps and localic embeddings, (with Luis Español and
Tomasz Kubiak)
Workshop on Categorical Topology, in honour of Eraldo Giuli, on
the occasion of his seventieth birthday, Ponta Delgada, March 2010.
- On extended real valued
functions in pointfree topology, (with Jorge Picado)
VI Portuguese Category Seminar, Coimbra, July 2009.
- Real valued functions in
Pointfree Topology, (with Tomasz Kubiak and Jorge
Picado)
2nd International Conference on Topology and its Applications,
Hacettepe University, Ankara, July 2009.
- Localic analogues of general
insertion and extension theorems for real-valued functions,
(with Tomasz Kubiak)
CT2009, Cape Town, July, 2009.
- Unified representability of
total preorders, semiorders, and interval orders through
scales and a single map, (with Esteban Induráin)
Wiat'09, Palma de Mallorca, June 2009.
- Making the ring of continuous localic
real functions into a subring of all localic real functions,
(with Tomasz Kubiak and Jorge Picado)
BLAST 2008, Denver, August 2008.
- Extension of hedgehog-valued
functions, (with Tomasz Kubiak and María Angeles de
Prada Vicente)
22nd Summer Conference on Topology and Its Applications,
Castellón, July 2007.
- Universal codomains to
represent interval orders, (with Juan Carlos
Candeal and Esteban Induráin)
22nd Summer Conference on Topology and Its Applications,
Castellón, July 2007.
- Hedgehog-valued functions,
(In spanish)
Instituto de Matemática Pura y Aplicada IMPA - UPV, Universidad
Politécnica de Valencia, June 2007.
- Inserting continuous functions
with values in bounded complete domains and hedgehog-like
structures, (with Tomasz Kubiak and María Angeles
de Prada Vicente)
TOPOSYM 2006, 10th Prague topological symposium, Prague, August
2006.
- Continuous Extension of Pairwise Disjoint Families of Real-valued Functions and Hedgehog-valued Functions, (with Tomasz Kubiak and María Angeles
de Prada Vicente)
TOPOSYM 2006, 10th Prague topological symposium, Prague, August
2006.
- Extension of families of pairwise
disjoint real-valued functions and hedgehog-valued functions ,
(with Tomasz Kubiak and María Angeles de Prada Vicente)
2006 international conference on topology and its applications.
Aegion. June 2006.
- Hutton [0,1]-quasi-uniformities
induced by fuzzy (quasi-)metric spaces , (with María
Angeles de Prada Vicente)
International Mediterranean Congress of Mathematics, Almería, June 2005.