Category theorists

Category theory is a branch of mathematics that deals with abstract structures and relationships between them. A category consists of objects and morphisms (arrows) that represent relationships between those objects. The central concepts of category theory include: 1. **Objects:** These can be anything—sets, spaces, groups, or more abstract entities. 2. **Morphisms:** These are arrows that represent relationships or functions between objects.

André Joyal is a Canadian mathematician known for his contributions to category theory, topos theory, and combinatorial set theory. He has worked extensively on the foundational aspects of mathematics, particularly in relation to the interactions between category theory and logic. Joyal is perhaps best known for developing the concept of "quasi-categories," which are a generic notion that generalizes many structures in category theory, particularly in the context of homotopy theory.

Andrée Ehresmann is a French mathematician known for her contributions to category theory and the development of the theory of "concrete categories." She has also explored connections between mathematics and various fields such as philosophy and cognitive science. Her work often emphasizes the role of structures and relationships in mathematical frameworks. Ehresmann is also known for her writings that advocate for the importance of understanding mathematical concepts from a categorical perspective.

Charles Ehresmann was a notable French mathematician born on February 6, 1905, and he passed away on May 12, 1979. He is primarily recognized for his contributions to the fields of topology and algebra. One of his significant contributions was in the area of category theory, specifically through his work on the concept of "fiber bundles" and the development of the Ehresmann connection, which has applications in differential geometry and theoretical physics.

Charles Rezk does not appear to be a widely recognized or notable figure as of my last update in October 2023. It's possible that he is a private individual, a professional in a specific field, or a person who has gained recognition after my last training cut-off.

David Spivak is known in the field of mathematics, particularly in the areas of category theory and its applications. He has made contributions to various topics within mathematics, and his work often involves the intersection of algebra, topology, and theoretical computer science. Additionally, Spivak has been involved in educational initiatives and has worked on projects related to the application of mathematical concepts in practical settings.

Emily Riehl is a mathematician known for her contributions to category theory, homotopy theory, and algebraic topology. She is an associate professor at Johns Hopkins University and has published several research papers in her areas of expertise. Riehl has also been involved in mathematical education, producing resources aimed at improving the teaching and understanding of mathematics, particularly in higher education. She is recognized for her work in making advanced mathematical concepts more accessible.

Eugenia Cheng is a mathematician, pianist, and author known for her work in category theory, an abstract branch of mathematics. She has also gained prominence as a popularizer of mathematics, making complex concepts accessible to a general audience through her writing and public speaking engagements.

Jacob Lurie is a prominent American mathematician known for his work in higher category theory, algebraic topology, and derived algebraic geometry. He has made significant contributions to the fields of homotopy theory and the foundations of mathematics, particularly through his development of concepts such as ∞-categories and model categories. Lurie is also known for his influential books, including "Higher Topos Theory" and "Derived Algebraic Geometry.

As of my last knowledge update in October 2021, there isn't any widely recognized figure, concept, or topic known as "Jacques Feldbau." It's possible that Jacques Feldbau could refer to a specific individual who may not be well-known in public discourse, or it might relate to developments or events that have emerged after my last update.

Jacques Riguet is not widely recognized in popular culture or major historical contexts, so it's possible that he could be a less well-known individual or a fictional character. It's important to provide more context or specify if you're referring to a particular field, profession, or work associated with that name.

Jean Bénabou is a notable French economist, well-known for his work in areas such as economic growth, productivity, and the role of human capital in the economy. He has contributed significantly to understanding the mechanisms that drive economic development and the factors that influence labor markets and education. Bénabou's research often combines theoretical models with empirical analysis to explore how various economic policies can impact societal outcomes, and he has collaborated with other economists on various influential studies.

John C. Baez is a prominent mathematician and physicist known for his work in various fields, including mathematical physics, category theory, and the foundations of quantum mechanics. He is a professor at the University of California, Riverside, and has made significant contributions to the understanding of higher-dimensional algebra, topology, and the interplay between mathematics and theoretical physics.

John C. Oxtoby is an American mathematician known for his contributions to the field of topology, particularly in general topology and its applications in various areas of mathematics. He has authored several influential texts on topology, including "Topology", which is a widely used textbook in the subject. His work has helped shape the understanding of fundamental concepts in topology and has influenced both teaching and research in that area.

John R. Isbell may refer to an individual who is known in a specific field or context, but there isn't a widely recognized figure by that name in public discourse up until my last knowledge update in October 2023. It's possible that he could be a professional in academia, business, or another area, but without more specific information, it’s difficult to provide details.

Kenneth Brown is an American mathematician known for his contributions to topology and algebraic K-theory, particularly in the context of group theory and geometric topology. He has worked on various topics, including the study of group actions on topological spaces, as well as applications of K-theory in the context of algebraic groups and other areas. Brown's work often intersects with issues in pure mathematics that involve both algebra and topology, and he has published numerous papers and books throughout his career.

Martin Hyland can refer to various individuals; however, one prominent figure associated with that name is a notable Irish politician or business person, depending on the specific context. Without additional information, it's challenging to determine the exact Martin Hyland you are referring to. If you have a specific context or field in mind (e.g.

"Max Kelly" could refer to various subjects, including a person's name or a character from literature or media. Without additional context, it's difficult to provide a specific answer.

Michael Barr is a mathematician known for his contributions to category theory and algebra. He is particularly recognized for his work in the area of algebraic topology and for co-authoring the influential textbook "Categories for the Working Mathematician" alongside Charles Wells. Barr has also been involved in research concerning the foundations of mathematics and has contributed to the field of mathematical education.

Michael Shulman is a mathematician known for his work in the fields of algebra, category theory, and type theory. He has made contributions to the study of homotopy theory, higher categories, and the connections between mathematics and computer science, particularly in the context of programming languages and formal systems. Shulman has also been involved in research that bridges the gap between abstract mathematical theory and practical computational applications.

As of my last knowledge update in October 2023, there is no widely known individual, concept, or entity specifically called "Myles Tierney." It is possible that it might refer to a private individual, a lesser-known public figure, or a character from a work of fiction.

Peter J. Freyd is a mathematician known for his work in category theory and related areas of mathematics. He is particularly recognized for his contributions to the development of categorical concepts, including well-known notions such as Freyd's adjoint functor theorem, which is fundamental in category theory. He has also made significant contributions to the areas of topology and homological algebra.

Peter Johnstone is a notable mathematician primarily known for his work in the field of category theory, particularly in topos theory and shearings. He has contributed significantly to the understanding of the foundations of mathematics through category-theoretic approaches. Johnstone is also well known for his writings, including a key textbook titled "Sketches of an Elephant," which serves as an introduction to topos theory and provides insights into its applications.

Richard J. Wood could refer to various individuals, as names can belong to multiple people in different fields such as academia, business, or the arts. Without more specific context about who or what Richard J. Wood refers to, it's difficult to provide a precise answer.

"Ross Street" could refer to a specific street name found in various cities around the world. Without more context, it's difficult to pinpoint a particular location or significance. There are likely multiple streets named Ross Street in different regions, each with its own unique characteristics, businesses, and residential areas.

Samuel Eilenberg (1913-1998) was a renowned Polish-American mathematician known for his significant contributions to the fields of algebra, topology, and category theory. He was particularly influential in the development of algebraic topology and cohomology theories. Eilenberg is perhaps best known for the concept of Eilenberg-Mac Lane spaces, which are important in algebraic topology and homotopy theory.

Urs Schreiber is a theoretical physicist known for his work in the field of quantum gravity, particularly in the context of topological field theories and their mathematical underpinnings. He has contributed significantly to the understanding of the interplay between physics and mathematics, especially in areas such as category theory and algebraic topology. He is also known for his scholarly articles and texts that explore advanced concepts in theoretical physics and mathematics, making them more accessible to a wider audience.

Valeria de Paiva is a Brazilian mathematician known for her work in the field of type theory, particularly in the context of computer science and programming languages. She has made significant contributions to the development of mathematical frameworks that inform type systems in software, which are critical for ensuring code correctness and safety. Additionally, Valeria de Paiva has been involved in research related to category theory and its applications in functional programming. She is also noted for her engagement in teaching and collaboration within the academic community.

Věra Trnková is a Czech artist and designer known for her work in various artistic mediums, including graphic design and illustration.

William Lawvere is an American mathematician known for his significant contributions to category theory and its applications in various fields, including mathematics, computer science, and logic. He is particularly noted for his work on topos theory, a branch of category theory that provides a framework for treating mathematical logic and set theory in a categorical context. Lawvere also played a role in the development of the theory of categories as a foundation for mathematics, which emphasizes the relationships between different mathematical structures rather than the structures themselves.