Filtered category
Hey there!
Filtered category means that we have sorted things into different groups based on a particular characteristic. Imagine you have a big box of toys that you want to organize. You can put all the cars in one pile, all the dolls in another pile, and all the puzzles in a separate pile.
Now, think about these piles as categories. Each category has its own set of toys that meet a specific criterion (in this case, toy type). Similarly, in the world of mathematics, filtered categories are groups formed by fitting mathematical objects into different categories based on certain rules or filters.
These categories are useful tools for making sense of complex mathematical problems. They help mathematicians understand and analyze the relationships between different objects and concepts within a particular field of study.
So, in simple terms, a filtered category is a bunch of related mathematical objects sorted into groups (categories) based on common characteristics.
Filtered category means that we have sorted things into different groups based on a particular characteristic. Imagine you have a big box of toys that you want to organize. You can put all the cars in one pile, all the dolls in another pile, and all the puzzles in a separate pile.
Now, think about these piles as categories. Each category has its own set of toys that meet a specific criterion (in this case, toy type). Similarly, in the world of mathematics, filtered categories are groups formed by fitting mathematical objects into different categories based on certain rules or filters.
These categories are useful tools for making sense of complex mathematical problems. They help mathematicians understand and analyze the relationships between different objects and concepts within a particular field of study.
So, in simple terms, a filtered category is a bunch of related mathematical objects sorted into groups (categories) based on common characteristics.