References
- Aguiar, M., Mahajan, S. (2010). Monoidal Functors, Species and Hopf Algebras. CRM Monographs Series, Vol. 29, Providence, RI: American Mathematical Society.
- Alexandroff, P. (1937). Diskrete Räume. Rec. Math. Moscou n. Ser. 2(3):501–519.
- Barmak, J. A. (2009). Algebraic topology of finite topological spaces and applications. PhD thesis. Universidad de Buenos Aires.
- Barratt, M. G. (1977). Twisted Lie Algebras. Geometric Applications of Homotopy Theory II. Lecture Notes in Math, Vol. 658. Berlin: Springer, pp. 9–15.
- Chapoton, F. (2001). Algèbres pré-Lie et algèbres de Hopf liées à la renormalisation. C. R. Acad. Sci. 332(Série I):681–684. DOI: https://doi.org/10.1016/S0764-4442(01)01919-X.
- Chapoton, F., Livernet, M. (2001). Pre-Lie algebras and the rooted trees operad. Int. Math. Res. Not. 2001(8):395–408. DOI: https://doi.org/10.1155/S1073792801000198.
- Erné, M., Stege, K. (1991). Counting finite posets and topologies. Order. 8(3):247–265. DOI: https://doi.org/10.1007/BF00383446.
- Fauvet, F., Foissy, L., Manchon, D. (2017). The Hopf algebra of finite topologies and mould composition. Ann. Inst. Fourier. 67(3):911–945. DOI: https://doi.org/10.5802/aif.3100.
- Foissy, L., Malvenuto, C. (2015). The Hopf algebra of finite topologies and T-partitions. J. Algebra 438:130–169. DOI: https://doi.org/10.1016/j.jalgebra.2015.04.024.
- Foissy, L., Malvenuto, C., Patras, F. (2016). Infinitesimal and B∞-algebras, finite spaces, and quasi-symmetric functions. J. Pure Appl. Algebra 220:2434–2458.
- Grossman, R., Larson, R. G. (1989). Hopf-algebraic structure of families of trees. J. Algebra 126(1):184–210. DOI: https://doi.org/10.1016/0021-8693(89)90328-1.
- Joyal, A. (1986). Foncteurs analytiques et espèces de structures. In: Combinatoire énumérative, (Montréal, QC, 1985/Québec, QC, 1985). Lect. Notes Math., Vol. 1234. Berlin: Springer, pp. 126–159.
- Loday, J.-L., Ronco, M. (2010). Combinatorial Hopf algebras. In: Quantum of Maths, Proc, 11, Amer. Math. Soc, pp. 347–383.
- Manchon, D. (2011). A short survey on pre-Lie algebras. Noncommutative geometry and physics: renormalisation, motives, index theory. Eur. Math. Soc. Zurich, pp. 89–102.
- Manchon, D., Saidi, A. (2011). Lois pré-Lie en interaction. Commun. Algebra 39(10):3662–3680. DOI: https://doi.org/10.1080/00927872.2010.510813.
- Munthe-Kaas, H., Wright, W. (2008). On the Hopf algebraic structure of Lie group integrators. Found. Comput. Math. 8(2):227–257. DOI: https://doi.org/10.1007/s10208-006-0222-5.
- Oudom, J. M, Guin, D. (2008). On the Lie enveloping algebra of a pre-Lie algebra. J. K-Theory. 2(1):147–167. DOI: https://doi.org/10.1017/is008001011jkt037.
- Patras, F., Reutenauer, C. (2004). On descent algebras and twisted bialgebras. Mosc. Math. J. 4(1):199–216. DOI: https://doi.org/10.17323/1609-4514-2004-4-1-199-216.
- Patras, F., Schocker, M. (2006). Twisted descent algebras and the Solomon–Tits algebra. Adv. Math. 199(1):151–184. DOI: https://doi.org/10.1016/j.aim.2005.01.010.
- Schedler, T. (2013). Connes-Kreimer quantizations and PBW theorems for pre-Lie algebras. arXiv preprint arXiv:0907.1717.
- Stong, R. E. (1966). Finite topological spaces. Trans. Amer. Math. Soc. 123(2):325–340. DOI: https://doi.org/10.1090/S0002-9947-1966-0195042-2.
- Teerapong, S. (2016). Gyrogroup actions: a generalization of group actions. J. Algebra 454:70–91.