Peter J. Freyd

Peter FreydFreydFreyd, Peter J.P. Freyd
Peter J. Freyd (born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation.wikipedia
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False Memory Syndrome Foundation

Peter J. Freyd (born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation. Freyd and his wife Pamela founded the False Memory Syndrome Foundation in 1992, after Freyd was accused of sexual abuse by his daughter Jennifer.
The False Memory Syndrome Foundation (FMSF) is a nonprofit organization founded in 1992 by Pamela and Peter Freyd, after their adult daughter Jennifer Freyd accused Peter Freyd of sexual abuse when she was a child.

Norman Steenrod

SteenrodNorman Earl SteenrodNorman E. Steenrod
Freyd obtained his Ph.D. from Princeton University in 1960; his dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum.

David Buchsbaum

BuchsbaumBuchsbaum, DavidDavid A. Buchsbaum
Freyd obtained his Ph.D. from Princeton University in 1960; his dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum.
Among his doctoral students are Peter J. Freyd and Hema Srinivasan.

Mitchell's embedding theorem

Freyd–Mitchell embedding theoremFreyd–Mitchell theoremMitchell embedding theorem
This work culminates in a proof of the Freyd–Mitchell embedding theorem.
The theorem is named after Barry Mitchell and Peter Freyd.

Adjoint functors

left adjointright adjointadjoint functor
Freyd is perhaps best known for his adjoint functor theorem.
If C is a complete category, then the functors with left adjoints can be characterized by the adjoint functor theorem of Peter J. Freyd: G has a left adjoint if and only if it is continuous and a certain smallness condition is satisfied: for every object Y of D there exists a family of morphisms

HOMFLY polynomial

HOMFLYPT polynomialHOMFLY polynomialsHOMFLY(PT) polynomial
In addition, Freyd's name is associated with the HOMFLYPT polynomial of knot theory, and he and Scedrov originated the concept of (mathematical) allegories.
The name HOMFLY combines the initials of its co-discoverers: Jim Hoste, Adrian Ocneanu, Kenneth Millett, Peter J. Freyd, W. B. R. Lickorish, and David N. Yetter.

Jennifer Freyd

JenniferJennifer J. Freyd
Freyd and his wife Pamela founded the False Memory Syndrome Foundation in 1992, after Freyd was accused of sexual abuse by his daughter Jennifer.
In the early 1990s, Freyd's husband privately accused her father, Peter J. Freyd, of abusing her during her childhood.

Mathematician

mathematiciansapplied mathematicianMathematics
Peter J. Freyd (born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation.

University of Pennsylvania

PennThe University of PennsylvaniaPennsylvania
Peter J. Freyd (born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation.

Category theory

categorycategoricalcategories
Peter J. Freyd (born February 5, 1936) is an American mathematician, a professor at the University of Pennsylvania, known for work in category theory and for founding the False Memory Syndrome Foundation.

Doctor of Philosophy

Ph.D.PhDPh.D
Freyd obtained his Ph.D. from Princeton University in 1960; his dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum.

Princeton University

PrincetonPrinceton CollegeCollege of New Jersey
Freyd obtained his Ph.D. from Princeton University in 1960; his dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum.

Allegory (mathematics)

allegoriesAllegory (category theory)Allegories (category theory)
In addition, Freyd's name is associated with the HOMFLYPT polynomial of knot theory, and he and Scedrov originated the concept of (mathematical) allegories.

False memory syndrome

false memoriesfalse memoryfalse-memory syndrome
Peter J. Freyd originated the term, which the False Memory Syndrome Foundation (FMSF) subsequently popularized.

Homotopy category

homotopy categorieshomotopy category of topological spaceshomotopy
Indeed, Freyd showed that neither the naive homotopy category of pointed spaces nor the homotopy category of pointed spaces is a concrete category.

Concrete category

concrete categoriesconcreteconcretizable
The fact that there does not exist any faithful functor from hTop to Set was first proven by Peter Freyd.