2026-01-05

1532: Local Homeomorphism

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definition of local homeomorphism

Topics


About: topological space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of local homeomorphism.

Orientation


There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.


Main Body


1: Structured Description


Here is the rules of Structured Description.

Entities:
\( T_1\): \(\in \{\text{ the topological spaces }\}\)
\( T_2\): \(\in \{\text{ the topological spaces }\}\)
\(*f\): \(: T_1 \to T_2\)
//

Conditions:
\(\forall t \in T_1 (f \in \{\text{ the maps between } T_1 \text{ and } T_2 \text{ locally homeomorphic at } t\})\)
//


References


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