# This is the (co)end, my only (co)friend

- Published in 2015
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The present note is a recollection of the most striking and useful applications of co/end calculus. We put a considerable effort in making arguments and constructions rather explicit: after having given a series of preliminary definitions, we characterize co/ends as particular co/limits; then we derive a number of results directly from this characterization. The last sections discuss the most interesting examples where co/end calculus serves as a powerful abstract way to do explicit computations in diverse fields like Algebra, Algebraic Topology and Category Theory. The appendices serve to sketch a number of results in theories heavily relying on co/end calculus; the reader who dares to arrive at this point, being completely introduced to the mysteries of co/end fu, can regard basically every statement as a guided exercise.

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## Other information

- key
- Loregian2015
- type
- article
- date_added
- 2015-01-13
- date_published
- 2015-01-01
- pages
- 39

### BibTeX entry

@article{Loregian2015, key = {Loregian2015}, type = {article}, title = {This is the (co)end, my only (co)friend}, author = {Loregian, Fosco}, abstract = {The present note is a recollection of the most striking and useful applications of co/end calculus. We put a considerable effort in making arguments and constructions rather explicit: after having given a series of preliminary definitions, we characterize co/ends as particular co/limits; then we derive a number of results directly from this characterization. The last sections discuss the most interesting examples where co/end calculus serves as a powerful abstract way to do explicit computations in diverse fields like Algebra, Algebraic Topology and Category Theory. The appendices serve to sketch a number of results in theories heavily relying on co/end calculus; the reader who dares to arrive at this point, being completely introduced to the mysteries of co/end fu, can regard basically every statement as a guided exercise.}, comment = {}, date_added = {2015-01-13}, date_published = {2015-01-01}, urls = {http://arxiv.org/abs/1501.02503,http://arxiv.org/pdf/1501.02503v2}, collections = {Attention-grabbing titles}, month = {jan}, pages = 39, url = {http://arxiv.org/abs/1501.02503 http://arxiv.org/pdf/1501.02503v2}, year = 2015, archivePrefix = {arXiv}, eprint = {1501.02503}, primaryClass = {math.CT}, urldate = {2015-01-13} }