Preterm birth (gestational age 37 weeks) is a global concern to avoid maternal and fetal morbidity and mortality. Early detection results in timely intervention to delay the labor and avoid the consequences by providing tocolytic drugs and rest. Uterine Electromyography (uEMG) is a non-invasive technique for measuring uterine muscle activity, recorded from the abdominal surface of pregnant women. These contractions are complex and nonlinear due to the various interconnections between uterine muscle cells. Applying topology to the signal processing techniques can analyse the underlying dynamics. This work aims to predict preterm birth by utilising topological variations of uterine muscle activity. In this seminar, the considered signal, methods, significant results, and future research will be presented.