When An Abelian Category Has Enough Flat Objects?

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Can you provide me an example of two objects that are different via set theory but are equal via category theory?

I've read the following: The characteristic aspect of a category theory is that all constructions of this theory are provided in the language of diagrams, consisting of appropriate morphisms between given objects. In this sense, the concept of a mathematical...

Answer:

You meant it the other way around. You're looking for two objects that are the same as sets but different...

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Other solutions

How does category theory address products of objects?

For example, how would I express a map from multiple objects to another object, analogous to a function of multiple parameters?

Answer:

When talking about a "map with multiple parameters", say from objects a and b the correct...

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Is there a universal ratio, pattern or proportion between sizes of natural objects ?

From objects that are microscopic in size like bacteria, virus etc, to objects of human scale like trees, animals, etc to extermely large objects like solar systems and galaxies   Are categories of objects man made, or are actual jumps in sizes between...

Answer:

Phi is considered to be the most applicable ratio that describes natural phenomenon. "Some of the...

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Manmade objects to draw?

I'm taking art classes in school and our current theme is Man made objects. We have to choose a category of manmade objects and draw several objects of that category. I can't ...show more

Answer:

Category Idea: Objects that Move: [Suggestion - fill your page with what you draw, don't draw a tiny...

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OKVYKGOYYO55NQRSR43X4EHEKE at Yahoo! Answers Mark as irrelevant Undo

How are found Objects made?

Hey all, I'm finding difficulty with a question I am asked for ART. I have to define the material I am using for my art work. The teacher said it falls under the category of found objects and that I have to research that material. One of the questions...

Answer:

You could explain the process of found-objecthood... These objects were made or grew (if the items you...

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What are some fictional objects people killed each other for?

Forgive my nerdiness, but remember the Elder Wand from Harry Potter. Some guy would stealthily kill the guy with the Elder Wand so that he can steal it, only to turn around and be killed by someone else. I'm looking for more objects that fall into this...

Answer:

The One Ring The Force The Maltese Falcon

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Is there a category theory of models that would unite theories from different academic disciplines?

Category theory is an abstract mathematical theory that is used to formalize mathematics and its concepts as a collection of objects and arrows (also called morphisms). Category theory can be used to formalize concepts of other high-level abstractions...

Answer:

What does it mean to unify in this context? Are you aware that different sciences use different methods...

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What is a good hiding place for objects?

Re-posting this. My question has been savaged by reporter trolls... I can't use a book, I'd be DEAD if I ruined one of those dusty old books for a "pointless reason". Haha. Is there anything else I can do to something or make to hide objects...

Answer:

If there's a short piece of baseboard molding you can pry away from the wall it will usually reveal...

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Answer:

A concept is an idea that represents a category of objects or events. Concepts help us identify important...

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Anonymous at ChaCha Mark as irrelevant Undo

Answer:

Concept is a mental category for classifying objects, people, or experiences.

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