There Abram Fet finished high school at the age of 15 and entered the Odesa Institute of Communications Engineering.

There Fet attended the seminars of Gelfand, Pontryagin, and Novikov and started to specialize in topology on advice of Vilenkin, under supervision of Lazar Lusternik.

In December 1948, Fet defended his Candidate Thesis named "A Homology Ring of Closed Curve Space on a Sphere", which was recognized as an outstanding contribution by the mathematicians of Moscow University.

In 1960, he got employed as a senior researcher in the Ceometry and Topology Department of the newly established Institute of Mathematics of the Siberian Division of the Academy of Sciences of the USSR.

In November 1967, he defended a doctorate at Moscow University named "A Periodic Problem of Variational Calculus", focused around Fet's theorem about two closed geodesic arcs, which became classical.

Fet was employed as a senior researcher at the theoretical physics laboratory of the Institute of Inorganic Chemistry thanks to its director A. V. Nikolayev.

In 1984, this monograph was prepared by the Siberian branch of the Nauka Publishing House for publication but suddenly the manuscript was withdrawn from print, and the type matter was decomposed.

The reason why it was done became clear soon: on 8 October 1986 Fet was dismissed from work "due to noncompliance with the position held based on the performance evaluation."

Fet introduced the Russian reader to the main works by Konrad Lorenz, whose ideas made a significant impact on his own thinking: Civilized Man's Eight Deadly Sins (Die acht Todsünden der zivilisierten Menschheit, 1974), On Aggression (Das sogenannte Böse.

Zur Naturgeschichte der Aggression, 1966), and Behind the Mirror, a Search for a Natural History of Human Knowledge (Die Rückseite des Spiegels.

Fet was the first to translate and introduce many books on psychology for Samizdat which failed to pass the censorship in the USSR of the time: Eric Berne, Games People Play, 1964, The Layman's Guide to Psychiatry and Psychoanalysis, 1959, Sex in Human Loving, 1970; Erich Fromm Escape from Freedom (Die Furcht vor der Freiheit, 1941); Karen Horney, The Neurotic Personality of our Time, 1937, and many others.

His book The Polish Revolution written in the wake of the events was anonymously published in 1985 in Paris and in London, with a foreword of Mario Corti.

In the 1980s, the Russian emigree journal in Paris called Syntax published six articles by Fet signed with the pseudonym A.N.

Throughout his life, Fet was thinking on the human society, on the biological and cultural nature of man, on the social mission of the intelligentsia, on religious beliefs and ideals.

These reflections resulted in his books Pythagoras and the Ape (1989), Letters from Russia (1989–1991), Delusions of Capitalism, or the Fatal Conceit of Professor Hayek (1996), the main work being Instinct and Social Behavior, published in 2009.