Add normal epimorphisms and normal monomorphisms#292
Merged
Conversation
ScriptRaccoon
force-pushed
the
normal-epis
branch
from
July 16, 2026 16:40
9a9842f to
ab83eff
Compare
ScriptRaccoon
marked this pull request as ready for review
July 16, 2026 16:57
ScriptRaccoon
force-pushed
the
normal-epis
branch
from
July 16, 2026 17:07
3f73d4e to
50a0479
Compare
ScriptRaccoon
force-pushed
the
normal-epis
branch
from
July 16, 2026 17:09
50a0479 to
de7319b
Compare
ScriptRaccoon
force-pushed
the
normal-epis
branch
from
July 16, 2026 17:11
de7319b to
f6b126c
Compare
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
This PR implements another part of #267 by adding normal epimorphisms and normal monomorphisms. These are only defined in categories with zero morphisms.
Their basic properties are added (every normal epi is regular, etc.), and also examples showing that some implications are not true:
Because of the two new properties, the identity morphism idX in Set (for a set X) does not have all properties of morphisms anymore. Therefore, also the identity morphism idG in Grp (for a group G) has been added. It has all current properties. This is also verified in the test script.