This research presents a study of the fundamental topics in the study of the topology of metric spaces animated using the GeoGebra software. This software is an excellent tool for experimenting, exploring, discovering, visualizing, and manipulating mathematical objects within a teaching-learning process. This paper aims to present and describe concepts of the topology of metric spaces animated through GeoGebra using sliders, which allow dynamic learning environments to visualize their properties and characteristics. The results of this research provide fundamental tools for understanding the topology of metric spaces through the use of the dynamic environment of GeoGebra, which allows multiple representations of the presented theme. This research is a dynamical approach to the abstract subject of the topology of metric spaces through GeoGebra software, which provides, through visualization, fundamental tools within a topology teaching-learning process. Keywords: Topology of Metric Spaces, ICT in Mathematics, GeoGebra DOI： https://doi.org/10.35741/issn.0258-2724.58.3.12