# Category:Inclusion Mappings

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This category contains results about Inclusion Mappings.

Let $T$ be a set.

Let $S\subseteq T$ be a subset.

The **inclusion mapping** $i_S: S \to T$ is the mapping defined as:

- $i_S: S \to T: \forall x \in S: \map {i_S} x = x$

## Pages in category "Inclusion Mappings"

The following 23 pages are in this category, out of 23 total.

### C

### I

- Image under Inclusion Mapping
- Inclusion Mapping is Continuous
- Inclusion Mapping is Injection
- Inclusion Mapping is Monomorphism
- Inclusion Mapping is Restriction of Identity
- Inclusion Mapping is Surjection iff Identity
- Inclusion Mapping on Subgroup is Homomorphism
- Inclusion Mapping on Subgroup is Monomorphism
- Inclusion Mapping on Subring is Homomorphism
- Inclusion Mapping on Subring is Monomorphism
- Inclusion Mappings to Topological Sum from Components
- Inclusion of Natural Numbers in Integers is Epimorphism