generated from smyalygames/quartz
4 lines
338 B
Markdown
4 lines
338 B
Markdown
# Definition
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The **initial topology** on $X$ induced by a family of functions $f : X \to Y_{f}$ into [[Topological Space|topological spaces]] $Y_{f}$ is the [[Weakest Topology|weakest topology]]on $X$ making all these functions [[Continuous|continuous]].
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Here: $F = \{ f^{-1} \; | \; f : X \to Y_{f}, \; A \; \text{open in} \; Y_{f} \}$. |