### Resumé

In [1], 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 [1] 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 [1], which does not satisfy the extra condition. Fortunately, with the extra condition, the subsequent results are now correct.

[1] L. Fajstrup, Dicovering spaces, Homology Homotopy Appl. 5 (2003), no. 2, 1-17.

Originalsprog | Engelsk |
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Udgivelses sted | Aalborg |
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Forlag | Department of Mathematical Sciences, Aalborg University |

Antal sider | 4 |

Status | Udgivet - 2008 |

Navn | Research Report Series |
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Nummer | R-2008-21 |

ISSN | 1399-2503 |

### Citer dette

*On directed coverings*. Aalborg: Department of Mathematical Sciences, Aalborg University. Research Report Series, Nr. R-2008-21

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*On directed coverings*. Research Report Series, nr. R-2008-21, Department of Mathematical Sciences, Aalborg University, Aalborg.

**On directed coverings.** / Fajstrup, Lisbeth.

Publikation: Bog/antologi/afhandling/rapport › Rapport › Forskning

TY - RPRT

T1 - On directed coverings

AU - Fajstrup, Lisbeth

PY - 2008

Y1 - 2008

N2 - In [1], 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 [1] 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 [1], which does not satisfy the extra condition. Fortunately, with the extra condition, the subsequent results are now correct.[1] L. Fajstrup, Dicovering spaces, Homology Homotopy Appl. 5 (2003), no. 2, 1-17.

AB - In [1], 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 [1] 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 [1], which does not satisfy the extra condition. Fortunately, with the extra condition, the subsequent results are now correct.[1] L. Fajstrup, Dicovering spaces, Homology Homotopy Appl. 5 (2003), no. 2, 1-17.

M3 - Report

BT - On directed coverings

PB - Department of Mathematical Sciences, Aalborg University

CY - Aalborg

ER -