A combinatorial proof of the extension property for partial isometries
Jan Hubička; Matěj Konečný; Jaroslav Nešetřil
Commentationes Mathematicae Universitatis Carolinae (2019)
- Volume: 60, Issue: 1, page 39-47
- ISSN: 0010-2628
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top- Aranda A., Bradley-Williams D., Hubička J., Karamanlis M., Kompatscher M., Konečný M., Pawliuk M., Ramsey Expansions of Metrically Homogeneous Graphs, available at arXiv:1707.02612 [math.CO], 2017.
- Evans D., Hubička J., Konečný M., Nešetřil J., EPPA for two-graphs and antipodal metric spaces, available at arXiv:1812.11157 [math.CO] (2018), 13 pages.
- Evans D. M., Hubička J., Nešetřil J., Ramsey properties and extending partial automorphisms for classes of finite structures, available at arXiv:1705.02379 [math.CO] (2017), 33 pages.
- Hall M. Jr., 10.1090/S0002-9947-1949-0032642-4, Trans. Amer. Math. Soc. 67 (1949), 421–432. MR0032642DOI10.1090/S0002-9947-1949-0032642-4
- Herwig B., Lascar D., 10.1090/S0002-9947-99-02374-0, Trans. Amer. Math. Soc. 352 (2000), no. 5, 1985–2021. MR1621745DOI10.1090/S0002-9947-99-02374-0
- Hodkinson I., Finite model property for guarded fragments, 2012, slides available at http://www.cllc.vuw.ac.nz/LandCtalks/imhslides.pdf.
- Hodkinson I., Otto M., 10.2178/bsl/1058448678, Bull. Symbolic Logic 9 (2003), no. 3, 387–405. MR2005955DOI10.2178/bsl/1058448678
- Huang J., Pawliuk M., Sabok M., Wise D., The Hrushovski property for hypertournaments and profinite topologies, available at arXiv:1809.06435 [math.LO] (2018), 20 pages.
- Hubička J., Konečný M., Nešetřil J., Conant's generalised metric spaces are Ramsey, available at arXiv:1710.04690 [math.CO] (2017), 22 pages.
- Hubička J., Konečný M., Nešetřil J., All those EPPA classes (Strengthenings of the Herwig–Lascar theorem), available at arXiv:1902.03855 [math.CO] (2019), 27 pages.
- Hubička J., Nešetřil J., All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms), available at arXiv:1606.07979 [math.CO] (2016), 59 pages.
- Hubička J., Nešetřil J., Ramsey theorem for designs, The Ninth European Conf. on Combinatorics, Graph Theory and Applications (EuroComb 2017), Viena, 2017, Electronic Notes in Discrete Mathematics 61 (2017), 623–629.
- Konečný M., Semigroup-valued Metric Spaces, Master thesis in preparation available at arXiv:1810.08963 [math.CO], 2018.
- Mackey G. W., 10.1007/BF01361167, Math. Ann. 166 (1966), no. 3, 187–207. MR0201562DOI10.1007/BF01361167
- Nešetřil J., 10.1016/j.ejc.2004.11.003, European J. Comb. 28 (2007), no. 1, 457–468. MR2261831DOI10.1016/j.ejc.2004.11.003
- Nešetřil J., Rödl V., 10.1090/S0002-9904-1977-14212-2, Bull. Amer. Math. Soc. 83 (1977), no. 1, 127–128. MR0422035DOI10.1090/S0002-9904-1977-14212-2
- Otto M., Amalgamation and symmetry: From local to global consistency in the finite, available at arXiv:1709.00031 [math.CO] (2017), 49 pages.
- Pestov V. G., 10.1016/j.topol.2008.03.002, Topology Appl. 155 (2008), no. 14, 1561–1575. MR2435149DOI10.1016/j.topol.2008.03.002
- Rosendal Ch., 10.2178/jsl/1318338850, J. Symbolic Logic 76 (2011), no. 4, 1297–1306. MR2895386DOI10.2178/jsl/1318338850
- Ribes L., Zalesskii P. A., 10.1112/blms/25.1.37, Bull. London Math. Soc. 25 (1993), no. 1, 37–43. MR1190361DOI10.1112/blms/25.1.37
- Sabok M., Automatic continuity for isometry groups, J. Inst. Math. Jussieu (online 2017), 30 pages. MR3936642
- Siniora D., Solecki S., Coherent extension of partial automorphisms, free amalgamation, and automorphism groups, available at arXiv:1705.01888v3 [math.LO] (2018), 29 pages.
- Solecki S., 10.1007/BF02762385, Israel J. Math. 150 (2005), no. 1, 315–331. MR2255813DOI10.1007/BF02762385
- Solecki S., Notes on a strengthening of the Herwig–Lascar extension theorem, available at http://www.math.uiuc.edu/ssolecki/papers/HervLascfin.pdf (2009), 16 pages.
- Vershik A. M., 10.1016/j.topol.2008.03.007, Topology Appl. 155 (2008), no. 14, 1618–1626. MR2435153DOI10.1016/j.topol.2008.03.007