We investigate injective objects with respect to the class of embeddings in the categories Top/B (Top_o/B) of (T_o) topological fibre spaces and their relations with exponentiable morphisms. As a result, we obtain a characterization of such injective objects as retracts of partial products of the three-point space S (S the Sierpinski space for Top.

Injective topological fibre spaces / F. Cagliari, S. Mantovani. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 125:3(2002), pp. 525-532.

Injective topological fibre spaces

S. Mantovani
Ultimo
2002

Abstract

We investigate injective objects with respect to the class of embeddings in the categories Top/B (Top_o/B) of (T_o) topological fibre spaces and their relations with exponentiable morphisms. As a result, we obtain a characterization of such injective objects as retracts of partial products of the three-point space S (S the Sierpinski space for Top.
Exponentiable morphism; Injective object; Partial product; Retract
Settore MAT/03 - Geometria
2002
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/23907
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