Homology, Homotopy and Applications
Volume 13 (2011)
Erratum to “Dicovering spaces”
Pages: 403 – 406
In  (L. Fajstrup, Dicovering spaces, Homology Homotopy Appl. 5 (2003), no. 2, 1-17), we study coverings in the setting of directed topology. Unfortunately, there is a condition missing in the definition of a directed covering. Some of the results in  require this extra condition and in fact it was claimed to follow from the original definition. It is the purpose of this note to give the right definition and point out how this affects the statements in that paper. Moreover, we give an example of a dicovering in the sense of , which does not satisfy the extra condition. Fortunately, with the extra condition, the subsequent results are now correct.
covering spaces, abstract homotopy theory, dihomotopy theory
2010 Mathematics Subject Classification
51H15, 54Exx, 57M10