What question did this study set out to answer?

The research aims to establish a model-independent definition of limits within an (, )-category and verify their consistency across various contexts.

April 16, 2026Canadian Journal of MathematicsOpen Access

(∞, n )-Limits I: Definition and first consistency results

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The research aims to establish a model-independent definition of limits within an (, )-category and verify their consistency across various contexts.
Defined limits for diagrams valued in an (, )-category
Examine compatibility with homotopy 2-limits in 2-categories
Analyze self-consistency with varying values of parameters
Demonstrated compatibility with existing notions of homotopy 2-limits
Validated consistency with (, 1)-limits for (, 1)-categories
Showed self-consistency across different parameter values

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Implication

This work defines limits in a category and demonstrates their compatibility with existing concepts in homotopy and 2-categories, enhancing theoretical foundations.

Cite This Study

Moser et al. (2026) studied this question.

synapsesocial.com/papers/69e07bc12f7e8953b7cbd670 https://doi.org/10.4153/s0008414x26102181

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Implication

This work defines limits in a category and demonstrates their compatibility with existing concepts in homotopy and 2-categories, enhancing theoretical foundations.

(∞, n )-Limits I: Definition and first consistency results

Key Points

Discussion

Implication

Cite This Study

(∞, n )-Limits I: Definition and first consistency results

Key Points

Discussion

Implication

Cite This Study

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