モナド論をヒントに圏論をする(弱2-圏の割と詳しい説明付き)
https://m-hiyama.hatenablog.com/entry/20170111/1484122584
- Title: Composing PROPs
- Author: Stephen Lack
- Pages: 18p
- URL: http://www.tac.mta.ca/tac/volumes/13/9/13-09abs.html
最近のモナド論の概観と注意事項 1/2
https://m-hiyama.hatenablog.com/entry/20181226/1545810581
- Title: KLEISLI AND EILENBERG-MOORE CONSTRUCTIONS AS PARTS OF BIADJOINT SITUATIONS (14 April 2010)
- Authors: J. CLIMENT VIDAL AND J. SOLIVERES TUR
- Pages: 42p
- URL: https://www.uv.es/~solivere/Articles/Kleisli%20and%20Eilenberg-Moore%20constructions%20as%20parts%20of%20biadjoint%20situations.pdf
- Title: The formal theory of monoidal monads (2 Dec 2010)
- Author: Marek Zawadowski
- Pages: 15p
- URL: https://arxiv.org/abs/1012.0547
- Title: Monad and Comonad Objects through 2-adjunctions of the type Adj-Mnd (2015 v1, 2017 v3)
- Author: Adrian Vazquez-Marquez
- Pages: 17p
- URL: https://arxiv.org/abs/1510.04724
- Title: The formal theory of multimonoidal monads (2018)
- Author: Gabriella Böhm
- Pages: 43p
- URL: https://arxiv.org/abs/1810.11300
最近のモナド論の概観と注意事項 2/2
https://m-hiyama.hatenablog.com/entry/20190108/1546939110
- Title: Multivariable adjunctions and mates (2012)
- Authors: Eugenia Cheng, Nick Gurski, Emily Riehl
- Pages: 52p
- URL: https://arxiv.org/abs/1208.4520
さまざまなモナド類似物とベックの分配法則
https://m-hiyama.hatenablog.com/entry/2019/01/29/090423
- Title: BECK DISTRIBUTIVITY
- Author: MICHAEL BARR
- Pages: 5p
- URL: http://www.math.mcgill.ca/barr/ftp/pdffiles/distlaw.pdf
複合モナドから花輪積へ
https://m-hiyama.hatenablog.com/entry/2019/01/30/100636
- Title: The formal theory of monads II
- Authors: Stephen Lack, Ross Street
- Pages: 23p
- URL: https://www.sciencedirect.com/science/article/pii/S0022404902001378
モナド、双圏、変換手
https://m-hiyama.hatenablog.com/entry/2020/01/28/171033
- Title: Basic Bicategories (1998)
- Author: Tom Leinster
- Pages: 11p
- URL: https://arxiv.org/abs/math/9810017
- Title: 2-Categories and Yoneda lemma (2017)
- Author: Jonas Hedman
- Pages: 76p
- URL: https://pdfs.semanticscholar.org/c54c/9106fd428ec7eaafa23dc33ae73928abfc67.pdf
- Title: Bicategories and Higher Categories (2017)
- Author: Adrian Toshar Miranda
- Pages: 64p
- URL: https://web.maths.unsw.edu.au/~danielch/thesis/adrian_miranda.pdf
「モナド、双圏、変換手」への補遺
https://m-hiyama.hatenablog.com/entry/2020/01/29/170558
- Title: Internal Bicategories (2012, 2016)
- Authors: Christopher L. Douglas, Andre G. Henriques
- Pages: 49p
- URL: https://arxiv.org/abs/1206.4284
モナド達の上のモナド: ストリート・モナド
https://m-hiyama.hatenablog.com/entry/2021/03/05/183124
- Title: The nucleus of an adjunction and the Street monad on monads
- Authors: Dusko Pavlovic, Dominic J. D. Hughes
- Submitted: 15 Apr 2020 (v1), 27 Oct 2020 (v2)
- Pages: 86p
- URL: https://arxiv.org/abs/2004.07353