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T553 update: hereditarily connected => locally contractible#1729

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prabau wants to merge 1 commit intomainfrom
heredconn-loccontract
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T553 update: hereditarily connected => locally contractible#1729
prabau wants to merge 1 commit intomainfrom
heredconn-loccontract

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@prabau
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@prabau prabau commented Apr 10, 2026

  • old T553: hereditarily connected => locally path connected
  • new T553: hereditarily connected => locally contractible

This allows to derive that 6 more spaces are locally contractible:
https://topology.pi-base.org/spaces?q=Hereditarily+connected%2B%3FLocally+contractible

Also remove an asserted trait that can now be derived.

@prabau prabau added the theorem label Apr 10, 2026
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yhx-12243 commented Apr 10, 2026

As well as T316 (can be removed due to T848)

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