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J. Gutiérrez García and Jorge Picado,
On the algebraic representation of semicontinuity,
Journal of Pure and Applied Algebra 210 (2007), no. 2, 299-306.
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J. Gutiérrez García, M.A. de Prada Vicente and S. Romaguera,
Completeness on Hutton uniform spaces,
Fuzzy Sets and Systems 158 (2007), no. 16, 1791-1802.
- J. Gutiérrez García
Order-reversing involutions and lattices with residuation,
Indian Journal of Pure and Applied Mathematics 38 (2007), no. 4, 271-280
- I. Mardones Pérez and M.A. de Prada Vicente,
Monotone insertion of lattice-valued functions,
Acta Mathematica Hungarica 117 (2007), no. 1-2, 187-200.
- J. Gutiérrez García and T. Kubiak,
Sandwich-type characterization of completely regular spaces,
Applied General Topology 8 (2007), no. 2, 239-242.
- J. Gutiérrez García, M.A. de Prada Vicente and T. Kubiak,
Generating and inserting continuous functions with values in bounded complete domains and hedgehog-like structures,
Houston Journal of Mathematics 34 (2008), no. 1, 123-144.
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J. Gutiérrez García, T. Kubiak and Jorge Picado,
Monotone insertion and monotone extension
of frame homomorphisms,
Journal of Pure and Applied Algebra 212 (2008), no. 5, 955-968.
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J. Gutiérrez García and T. Kubiak,
A new look at some classical theorems
on continuous functions on normal spaces,
Acta Mathematica Hungarica 119 (2008), no. 4, 333-339.
- J. Gutiérrez García, I. Mardones Pérez, J. Picado and M.A. de Prada Vicente,
Uniform-type structures on lattice-valued spaces and frames,
Fuzzy Sets and Systems 159 (2008), no. 19, 2469-2487.
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U. Höhle and T. Kubiak,
Approximating orders in meet-continuous lattices and regularity axioms in many valued topology,
Order 25 (2008), no. 1, 9-17.
- U. Höhle and T. Kubiak,
A note on Hausdorff separation in $L$-$\mathbf{Top}$,
Fuzzy Sets and Systems 159 (2008), no. 19, 2606-2610.
- J. Gutiérrez García, T. Kubiak and J. Picado,
Pointfree forms of Dowker and Michael insertion theorems,
Journal of Pure and Applied Algebra. 213 (2009), no. 1, 98-108.
- J. Gutiérrez García, I. Mardones Pérez and M.A. de Prada Vicente,
Monotone normality free of T1 axiom,
Acta mathematica Hungarica 122 (2009), no. 1-2, 71-80.
- J. Gutiérrez García, T. Kubiak and J. Picado,
Lower and upper regularizations of frame semicontinuous real functions,
Algebra univers. 60 (2009), no. 2, 169-184.
- J. Gutiérrez García, T. Kubiak and J. Picado,
Localic real functions: a general setting,
Journal of Pure and Applied Algebra 213 (2009), no. 6, 1064-1074.
- T. Kubiak and M.A. de Prada Vicente,
On quasi-uniform space valued semi-continuous functions,
Comment. Math. Univ. Carolin. 50 (2009), no. 1, 125-133.
- J.C. Candeal, J. Gutiérrez García and E. Indurain,
Universal codomains to represent interval-orders,
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17 (2009), no. 1, 197-219.
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J. Gutiérrez García, M.A. de Prada Vicente and T. Kubiak,
Controlling disjointness with a hedgehog,
Houston Journal of Mathematics 35 (2009), no. 2, 469-484
- G. Bosi, J. Gutiérrez García and E. Induráin
Unified representability of total preorders and interval
orders through a single function: The lattice approach,
Order 26 (2009), no. 3, 255-275.
- M.J. Ferreira, J. Gutiérrez García and J. Picado,
Completely normal frames and real-valued functions,
Topology and its Applications 156 (2009), 2932-2941.
- J. Gutiérrez García, Iraide Mardones Pérez, M.A. de Prada Vicente and Dexue Zhang,
Fuzzy Galois connections categorically,
Mathematical Logic Quarterly 2 (2010), 131-147.
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J. Gutiérrez García, S. Romaguera and M. Sanchis
Fuzzy uniform structures and continuous $t$-norms,
Fuzzy Sets and Systems 161 (2010), 1011-1021.
Other publications
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M.A. de Prada Vicente,
From the real numbers to domains,
Applied Topology: Recent progress for Computer Science, Fuzzy Mathematics and Economics (Proceedings of WiAT'09, Mallorca, 2009),
Editorial Universitat de les Illes Balears, ISBN 978-84-692-3060-2, 2009, pgs. 29-38. Pdf file
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J. Gutiérrez García, E. Induráin and T. Kubiak
Topological properties based on continuous extension of total preorders,
Applied Topology: Recent progress for Computer Science, Fuzzy Mathematics and Economics (Proceedings of WiAT'09, Mallorca, 2009),
Editorial Universitat de les Illes Balears, ISBN 978-84-692-3060-2, 2009, pgs. 103-110. Pdf file
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J. Gutiérrez García, I. Mardones Pérez and M.A. de Prada Vicente,
Separation Theorems for Lattice-valued Functions on Preordered Topological Spaces,
Applied Topology: Recent progress for Computer Science, Fuzzy Mathematics and Economics (Proceedings of WiAT'09, Mallorca, 2009),
Editorial Universitat de les Illes Balears, ISBN 978-84-692-3060-2, 2009, pgs. 111-117. Pdf file
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J. Gutiérrez García, I. Mardones Pérez and M.A. de Prada Vicente,
On monotone normality and T1 axiom,
Applied Topology: Recent progress for Computer Science, Fuzzy Mathematics and Economics (Proceedings of WiAT'10, Gandia, 2010),
Editorial Universitat Politécnica de Valencia, ISBN 978-84-8363-565-0, 2010, pgs. 122-128. Pdf file