@article{Tarizadeh_2013, title={On the category of profinite spaces as a reflective subcategory}, volume={14}, url={https://ojs.upv.es/index.php/AGT/article/view/1575}, DOI={10.4995/agt.2013.1575}, abstractNote={In this paper by using the ring of real-valued continuous functions $C(X)$, we prove a theorem in profinite spaces which states that for a compact Hausdorff space $X$, the set of its connected components $X/_{\sim}$ endowed with the quotient topology is a profinite space. Then we apply this result to give an alternative proof to the fact that the category of profinite spaces is a reflective subcategory in the category of compact Hausdorff spaces. Finally, under some circumstances on a space $X$, we compute the connected components of the space $t(X)$ in terms of the ones of the space $X$.}, number={2}, journal={Applied General Topology}, author={Tarizadeh, Abolfazl}, year={2013}, month={Jul.}, pages={147–157} }