Examples of 'category theory' in a sentence
Meaning of "category theory"
Category theory is a branch of mathematics that deals with the study of mathematical structures and relationships between different mathematical objects. It aims to provide a framework for understanding and comparing different areas of mathematics by focusing on the common structures and patterns that exist within them
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- A branch of mathematics which deals with spaces and maps between them in abstraction, taking similar theorems from various disparate more concrete branches of mathematics and unifying them.
How to use "category theory" in a sentence
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category theory
He applied category theory to programming language semantics.
The focus of the event was on category theory.
Category theory proposes many models of computation.
One of the most general is in category theory.
Category theory and homological algebra.
This can be rephrased in terms of category theory.
Category theory places the emphasis on maps between representations.
Morphism is the starting point of category theory.
In the language of category theory one have the following result.
The principle of duality is fundamental to category theory.
Setting in category theory.
Automorphism groups appear very natural in category theory.
In higher category theory.
This section presupposes some knowledge of category theory.
Product category theory.
See also
This generalization is the starting point of category theory.
Enriched category theory.
Isomorphisms are formalized using category theory.
This term is also used in category theory to refer to any split epimorphism.
Both make use of the language of category theory.
Category theory deals with abstract objects and morphisms between those objects.
Cones make other appearances in category theory as well.
Category theory represents a view of mathematics that emphasizes the relations between structures.
You have understood category theory.
But category theory also has its impact on order theory on a larger scale.
Our approach relies on category theory.
Category theory is a branch of mathematics that formalizes mathematical structure and its concepts.
This can also be phrased in the language of category theory.
Category theory is arguably better adapted to that end than any other current approach.
This is a glossary of properties and concepts in category theory in mathematics.
The diagram techniques of category theory are unlike diagram techniques used for group calculations.
The study of such generalizations is known as higher category theory.
Commutative diagrams play the role in category theory that equations play in algebra.
Both of these weakenings may be understood in terms of category theory.
Category theory is the appropriate tool for studying the representations of groups and algebras.
They have been studied in the context of category theory.
Category theory takes the idea of mathematical analogy much further with the concept of functors.
Active researcher in the areas of category theory and logic.
WildCats is a category theory package for Mathematica.
More difficult results often require more category theory.
The analogue in category theory is the Yoneda lemma.
This definition can be expressed naturally in terms of category theory.
Philosophy of mathematics Category theory Set theory Type theory.
The two functions are distinct from the viewpoint of category theory.
Informally, category theory is a general theory of functions.
They organized category theory.
Formalizing this intuition is a motivation for the development of category theory.
Foundations of category theory.
The idea of homotopy can be turned into a formal category of category theory.
At that point, category theory was already covering a large.
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Examples of using Theory
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You had a theory about a missing pilot
They are forcing me to continue with string theory
A comprehensive theory of action accompanied the report
Examples of using Category
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This category includes all business sectors
The criteria for each category are as follows
The other category of cases were of provisional measures
