Fabric (Stuff) – Intrinsic Topological Surfaces : 1988 : Jean-Michel Vappereau

by Julia Evans on January 1, 1988

Originally published as

Étoffe : Les surfaces topologiques intrinsèques, Jean-Michel Vappereau, Paris, Topologie En Extension 8, coll. « fascicule de résultats » (no 2), 1988 See http://jeanmichel.vappereau.free.fr/textes/etoffe.pdf or  http://etopologie.free.fr  

translated by Marc Etlin 

Sections, available published by www.Freud2Lacan.com  see

Table of Contents – here   

Presentation of the series of the fascicles of results pI-XVIII  – here

p8-9 Appears to be an overview  –  here

To introduce……………………………………………………………………….p13

1. The birth of dimension. a – Dimension is a topological invariant. a’ – The number of these [two] is the Imaginary. (A) Incidence of repetition. (A’) Composition of perception and consciousness. a” Fabrics. 

2. Classical Mirage and Topological Mirage. a – Lacan and the games of dimension. a’ – The Imaginary is the body. (A) The signifying involution. (A’) The dynamic of cuts. 

3. Passage, optics and… a – Intrinsic/extrinsic. a’ – The narcissisms and transference. (A) First optical schema. (A’) Second optical schema. (A”) Third optical schema. 

4. …the study of designs. a – Traits. a’ – Drawings. 

P13-49 – here

This may have been written in 1985, when Jean-Michel Vappereau was a member of a cartel with Marc Berri, Michel Bertheux, Laurence Descubes, Patrice Kirchhofer.


Chapter I…………………………………………………………………………………p53

A knot’s tension surfaces

1. Of enjoyment. a- Written presentation. a’ – Where enjoyment is found in the Freudian construction. a” – Structural presentation. 

2. From swarm to fabric. a1 – Construction of the tension surfaces. Example of the Borromean knot. a2 – Semi-twists and folds. Examples of the bi-folded strip and the Borromean knot. 

3. Characteristic Intrinsic Properties of a spanning surface. a1 – The number of faces. Two presentations of the trefoil knot. a2 – Edge number. 

4. Reduction via drawing of a spanning surface to its intrinsic characteristics. Operation I: deformation of the edged surfaces. Operation II: suppression of the semi-twists by even numbers. Operation III: above-below exchange of the fabric ribbons. Examples of the trefoil knot in its bilateral presentation and the Borromean knot

P51-76   here  

Chapter II……………………………………………………………………………….p77

Theory of intrinsic topological surfaces

1. Definitions. a1 – Topological surfaces. Scraps of fabric. Two principles of assembly. a2 – Definition of the edge of a topological surface. Edge. Ringed edge. a3 – First important proposition. a4 – Intrinsic invariants. 

2. Basic elements of the classification of surfaces and their mode of composition. a1 – Theories. First version: theory of non-edged surfaces. Second version: theory of edged surfaces that present only one circular component. 1 – Articulation. 2 – Basic elements. Third version: theory of the edged surfaces of any type (pierced). 1 – Articulation. 2 – Basic elements. a2 – Developed composition of the basic elements. a3 – Second important proposition. Main theorem. General theorem. Demonstration of the general theorem. 

3. Presentations. a1 – Soury’s great sphere. a2 – Griffiths’ schemas. a3 – Various complements to our presentation of the theory of intrinsic topological surfaces. The identifications of spherical polygons. Morse’s theory. The metamorphoses of paved surfaces. a4 – The advantages of our presentation. 

4. Conclusion.

P77-97  here  

Note : translation of Étoffe,

From the dictionary definition & the quotes from Seminar IV, see following, ‘stuff’ is probably a better translation than ‘Fabric’.

– From https://www.linguee.fr/francais-anglais/traduction/étoffe.html

étoffe  nom, féminin (pluriel: étoffes f)

fabric n, or cloth n, or material n 

plus rare : stuff n 

– From Seminar IV : 28th November 1956 : ECp6 :  this fascination for what can be found in matter, this primitive Stoff, 

See ECp7 below.

From https://en.wiktionary.org/wiki/Stoff

Ultimately from Old French estopheestoffe, from estoffer (“to provide what is necessary, equip, stuff”; > French étofferand étouffer), from Frankish *stopfōn*stoppōn(“to cram, plug, stuff”), from Proto-Germanic *stuppōną (“to clog up, block, fill”). Compare Dutch stof, English stuff.


ECp7 : this sort of need of ours to think of, to confuse the Stoff – or the primitive matter or the impulse or the flow or the inclination – with what is really at stake 

See note ECp6 above.

From  https://en.wikipedia.org/wiki/List_of_stoffs  During World War II, Germany fielded many aircraft and rockets whose fuels, and oxidizers, were designated (letter)-Stoff.

In German, Stoff means roughly the same thing as English “stuff”, both of which derive from the Old French word estoffe (meaning cloth or material). Stoff has as broad a range of meanings, ranging from “chemical substance” to “cloth”, depending on the context. The common elements (hydrogen, oxygen, carbon and nitrogen) are named respectively Wasserstoff, Sauerstoff, Kohlenstoff and Stickstoff (literally: ‘water-stuff’, ‘sour-stuff’, ‘coal-stuff’ and ‘smother-stuff’, respectively) in German. Stoff was used in chemical code names in both World War I and World War II.

See  Notes & references for Jacques Lacan’s Seminar IV : 28th November 1956 by Julia Evans on 2nd July 2017 or here

Seminar IV : The Object Relation & Freudian Structures 1956-1957 : begins 21st November 1956 : Jacques Lacan or here 

Availability of some of the references – a work in progress!

Écrits : 1966 : Jacques Lacan or here 

Rome Discourses – to introduce his report (Rome) : 26th September 1953 : Jacques Lacan  or here  

The Function and Field of Speech and Language in Psychoanalysis (Rome) : 26th September 1953 : Jacques Lacan  Availability  here (Also known as the Rome report) 

Further posts 

Topology   here 

Jacques Lacan   here 

Sigmund Freud    here

Posts by Jean-Michel Vappereau here  

In Seminar XXVI : 15th May 1979, there is a dialogue between Jean-David Nasio and Jean-Michel Vappereau. See Seminar XXVI : Topology and Time : 1978-1979 : begins 21st November 1978 : Jacques Lacan or here  


 Note : If links to any required text do not work, check www.LacanianWorksExchange.net. If a particular text or book remains absent, contact Julia Evans


Julia Evans

Practicing Lacanian Psychoanalyst, London


Further posts:

Lacanian Transmission here 

Some Lacanian history  here

Of the clinic  here 

Topology here    

By Sigmund Freud here 

Notes on texts by Sigmund Freud  here 

By Jacques Lacan here 

Notes on texts by Jacques Lacan here 

Translation Working Group here 

Use of power here 

By Julia Evans here