Data di Pubblicazione:
2003
Citazione:
T-0-reflection and injective hulls of fibre spaces / F. Cagliari, S. Mantovani. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 132:2(2003), pp. 129-138.
Abstract:
We give a characterization of injective (with respect to the class of embeddings) topological fibre spaces using their To-reflection, that turns out to be injective itself. We then prove that the existence of an injective hull of (X, f) in the category Top/B of topological fibre spaces is equivalent to the existence of an injective hull of its T-0-reflection (X-0, f(0)) in Top/B-0 (and in the category Top(0)/B-0 of T-0 topological fibre spaces).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
injective object; injective hull; T-0-reflection; initial topology; pullback complement
Elenco autori:
F. Cagliari, S. Mantovani
Link alla scheda completa: