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. MantovaniUltimo
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).File in questo prodotto:
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