In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
1. Abel, M. Generalisation of Segal algebras for arbitrary topological algebras. Period. Math. Hung., 2018, 77(1), 58–68.
https://doi.org/10.1007/s10998-017-0222-z
2. Abel, M. About some categories of Segal topological algebras. Poincare J. Anal. Appl., 2019, 1, 1–14.
3. Abel, M. Products and coproducts in the category S(B) of Segal topological algebras. Proc. Est. Acad. Sci., 2019, 68(1), 88–99.
https://doi.org/10.3176/proc.2019.1.09
4. Awodey, S. Category Theory. Oxford Logic Guides, Vol. 49. Oxford University Press, Oxford, 2006.