Product of Injective Spaces is Injective
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Theorem
Let $I$ be a non-empty indexing set.
Let $\family {\struct {S_i, \tau_i} }_{i \mathop \in I}$ be an indexed family of injective topological spaces.
Then $\ds \prod_{i \mathop \in I} \struct {S_i, \tau_i}$ is injective space.
Proof
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Sources
- Mizar article WAYBEL18:7