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Higher Categories.pdf

Minneapolis.pdf

🔗 Source: maths.mq.edu.au

📊 Size: 342 KB

👤 Author: Ross Street

⬇️ Downloads: 177

Summary

Australian work on categories is part of the development of higher categories, with roots in homology theory and the treatment of cohomology rings. Key contributors include Max Kelly, who progressed into category theory and invented differential graded categories, and Sammy Eilenberg, who collaborated with Kelly on enriched categories. The Eilenberg-Kelly paper defined 2-categories and provided a foundation for higher category theory. Other influential papers include those by Charles Ehresmann, Bill Lawvere, and John Gray, which developed internal categories, categorical foundations, and Grothendieck fibred categories. The theory of enriched categories was further developed, including enriched adjunction and limits, and the concept of ends was introduced. The work on higher categories has continued, with applications in dimension raising and the development of n-categories and n-functors.

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Description

Australian work on categories is part of the development of higher categories, with roots in homology theory and the treatment of cohomology rings.

Technical Information

File Format: PDF
File Size: 342 KB
Pages: 29
Language: EN
Author: Ross Street
Total Downloads: 177
Last Updated: 1 week ago

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