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# zero object

An initial object in a category $\mathcal{C}$ is an object $A$ in $\mathcal{C}$ such that, for every object $X$ in $\mathcal{C}$, there is exactly one morphism $A\longrightarrow X$.

A terminal object in a category $\mathcal{C}$ is an object $B$ in $\mathcal{C}$ such that, for every object $X$ in $\mathcal{C}$, there is exactly one morphism $X\longrightarrow B$.

A zero object in a category $\mathcal{C}$ is an object $0$ that is both an initial object and a terminal object.

All initial objects (respectively, terminal objects, and zero objects), if they exist, are isomorphic in $\mathcal{C}$.

Defines:

initial object, terminal object

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

18A05*no label found*

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uniqueness by AxelBoldt ✓

## Comments

## Complex analysis - Cauchy's theorem for a rectangle with exc...

Hi all,

I'm not able to locate the solution to this question - Cauchy's theorem for a rectangle at exceptional points. What are these exceptional points ? Any help on this would be highly appreciated.

TIA