论文信息 - Injective Hulls of T0 Topological Fibre Spaces

Injective Hulls of T0 Topological Fibre Spaces

We investigate the existence of injective hulls (with respect to the class of embeddings) in the categories Top0/B of T0 topological fibre spaces over B. We prove that, if f:A→B has a restriction to the image injective in Top0/f(A), (A,f) has an injective hull in Top0/B if and only if f(A′) is locally closed in B, where A′ denotes the union of non-indiscrete fibres of f.

Francesca Cagliari | Sandra Mantovani

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