What is also an object and morphism in?

A category is also a place where both objects and morphisms live, like a playground for ideas.

Think of it like this: imagine you have a toy box full of different kinds of toys, cars, blocks, balls. Each toy is an object, and when you play with them, like pushing a car from one block to another, that action is a morphism.

Now, the whole toy box is also a kind of category. That means it has its own objects (the toys) and morphisms (how you play with them). It's like having a special kind of playground where not only do the toys live, but the actions between the toys live too!

So when we say something is "also an object and morphism in," we mean it can be both a toy and a way to play, depending on how we look at it. Just like your favorite ball can be a toy you hold, or a thing you kick from one block to another! A category is also a place where both objects and morphisms live, like a playground for ideas.

Think of it like this: imagine you have a toy box full of different kinds of toys, cars, blocks, balls. Each toy is an object, and when you play with them, like pushing a car from one block to another, that action is a morphism.

Now, the whole toy box is also a kind of category. That means it has its own objects (the toys) and morphisms (how you play with them). It's like having a special kind of playground where not only do the toys live, but the actions between the toys live too!

So when we say something is "also an object and morphism in," we mean it can be both a toy and a way to play, depending on how we look at it. Just like your favorite ball can be a toy you hold, or a thing you kick from one block to another!

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Examples

  1. A toy box is an object, and moving toys from one box to another is a morphism.
  2. An apple tree is an object, and the act of picking apples is like a morphism.
  3. A classroom is an object, and students moving between groups are like morphisms.

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