How to pronounce “initial topology”

Meaning

• [Noun]
• (topology) Given a set
• X
• {\displaystyle X}
• , a family of topological spaces
• (
• M
• i
• ,
• T
• i
• )
• i
• ∈
• I
• {\displaystyle (M_{i},T_{i})_{i\in I}}
• and a family of functions
• f
• i
• :
• X
• →
• M
• i
• {\displaystyle f_{i}:X\to M_{i}}
• , the initial topology is the coarsest topology on
• X
• {\displaystyle X}
• such that all
• f
• i
• {\displaystyle f_{i}}
• are continuous.

Practice Nearby Words

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Similar Sounds

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