On the category of profinite spaces as a reflective subcategory
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 t...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2013-07-01
|
| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1575 |