Posthumous Publications
Previously unpublished papers, essays, talks, notes, other writings by F. William “Bill” Lawvere.
There may be many reasons why Bill held back publication or further work on these papers including possible shortcomings, or simply other projects. On the other hand, several papers were carefully revised or developed by Bill. We have attempted to faithfully recreate some of the writings in modern formatting.
1986 State Categories and Response Functors
(dedicated to Walter Noll)
31 pages & References. May 1986
Reformatted for Lawvere Archive Posthumous Publication by Francisco
Marmolejo, November 2, 2024.
View PDF
1997 Toposes of Laws of Motion.
Invited Address at Montral, Canada (for Bill’s 60th Birthday) Preliminary Report June 26, 1997, Revised by Bill September 27, 1997.
Reformatted for Lawvere Archive Posthumous Publication by F. Marmolejo and Matías Menni December 30, 2024. View PDF
1998 Outline of Synthetic Differential Geometry.
Talks given in February 1998 in the Buffalo Geometry Seminar (Revised November 1998). View PDF
2000 Induction is Idempotent Recursion in a Bicategory.
Short paper with Bibliography, November 1, 2000
Reformatted for Lawvere Archive Posthumous Publication by F. Marmolejo and M. Menni January 23, 2025. PDF
2005 Categories and Everyday Activities.
Essay in English and Italian based on a talk to beginners in Italy. New Translation to Spanish by F. Marmolejo who also reformatted for Lawvere Archive Posthumous Publication January 7, 2025. English Italian Spanish
2009 Open Problems in Topos Theory.
Dedicated to Martin Hyland and Peter Johnstone on their 60th birthdays. Revised July 2016. Reformatted for Lawvere Archive Posthumous Publication by M. Menni and F. Marmolejo, December 30, 2024 View PDF
2011 Cantor’s ‘Lauter Einsen’ in the light of Galois and Grothendieck.
Talk in Florence, Italy, June 2010. Published Abstract, 28 April, 2011
Reformatted for Lawvere Archive Posthumous Publication by M. Menni and F. Marmolejo, January 23, 2025 View PDF
2015 Alexander Grothendieck & the Modern Conception of Space.
Invited Address at CT2015, Aveiro, Portugal, June 2015.
Reformatted for Lawvere Archive Posthumous Publication by F. Marmolejo, January 10, 2025. View PDF
2018 Basic Dynamics via Category Theory.
Paper with Abstract and Bibliography. In fond Memory of Walter Noll. June 21, 2018. Reformatted for Lawvere Archive Posthumous Publication by M. Menni and F. Marmolejo, January 23, 2025 View PDF
Matías Menni, Special session for Bill Lawvere of CT23 Louvain-la-Neuve
Francisco Marmolejo speaking at CT2007, Carvoeiro, Algarve (Portugal), June 2007. Picture by J. Koslowski