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).

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.

T-0-reflection and injective hulls of fibre spaces

S. Mantovani
Ultimo
2003

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).
injective object; injective hull; T-0-reflection; initial topology; pullback complement
Settore MAT/03 - Geometria
2003
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/23912
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