Fomenko A.T.
MATHEMATICAL IMPRESSIONS

AMS (American Mathematical Society), USA,Provedence, 1990.

POSTERS BY ANATOLY FOMENKO

Index of images

$The Alexander horned sphere$
The Alexander horned sphere

$A space with nontrivial local homology$
A space with nontrivial local homology

$Topological zoo$
Topological zoo

$A 2-adic solenoid$
A 2-adic solenoid

$The star diagram of Hertzsprung and Russell$
The star diagram of Hertzsprung and Russell

$Geometry of the spectrum-luminosity diagram$
Geometry of the spectrum-luminosity diagram

$A spectral sequence$
A spectral sequence

$The cylinder of a continuous mapping$
The cylinder of a continuous mapping

$A ﬁber space$
A ﬁber space

$Spectral sequences and orbits of the action of groups$
Spectral sequences and orbits of the action of groups

$The action of the fundamental group on the higher homotopy groups$
The action of the fundamental group on the higher homotopy groups

$Homotopy groups of spheres$
Homotopy groups of spheres

$Deformation of the Riemann surface of an algebraic function$
Deformation of the Riemann surface of an algebraic function

$Morse functions and the theorem about the Euler characteristic$
Morse functions and the theorem about the Euler characteristic

$The separatrix diagram of a critical saddle point of a smooth function on a 3-dimensional manifold$
The separatrix diagram of a critical saddle point of a smooth function on a 3-dimensional manifold

$Proper Morse functions on 3-dimensional manifolds$
Proper Morse functions on 3-dimensional manifolds

$Motion of a heavy rigid body in space$
Motion of a heavy rigid body in space

An algebraic Kummer surface and its singular points

An algebraic Kummer surface and its singular points

2-dimensional polyhedra and incidence matrices

2-dimensional polyhedra and incidence matrices

Simplicial, cubic, cellular chains

Simplicial, cubic, cellular chains

Algebraic surfaces of higher order and the simplicial approximation theorem

Algebraic surfaces of higher order and simplicial approximation theorem

The Euclidean plane — the simplest minimal surface

The Euclidean plane - the simplest minimal surface

$A theorem in symplectic geometry$
A theorem in symplectic geometry

$Turbulence and associations outside mathematics$
Turbulence and associations outside mathematics

$Spines of 3-dimensional manifolds$
Spines of 3-dimensional manifolds

$An orbit of the action of an inﬁnite group$
An orbit of the action of an inﬁnite group

The boundary of polyhedra can be diminished when they are glued together

The boundary of polyhedra can be diminished when they are glued together

$A nontrivial knot in 3-dimensional space$
A nontrivial knot in 3-dimensional space

$Between two maxima there is always a saddle point$
Between two maxima there is always a saddle point

$A 2-dimensional sphere in 3-dimensional space can be turned inside out$
A 2-dimensional sphere in 3-dimensional space can be turned inside out

Simplicial complexes

Simplicial complexes

Polyhedra and simplicial chains

Polyhedra and simplicial chains

The boundary operator

The boundary operator

The method of killing spaces in homotopic topology

The method of killing spaces in homotopic topology

The theorem on the coincidence of simplicial and cellular homology

The theorem on the coincidence of simplicial and cellular homology

A system of shrinking neighborhoods

A system of shrinking neighborhoods

Singularities of smooth functions

Singularities of smooth functions

Simplicial spaces, cellular spaces, crystal and liquid

Simplicial spaces, cellular spaces, crystal and liquid

$Rolling and sliding$
Rolling and sliding

$Combinatorial contraction$
Combinatorial contraction

$Geometric fantasy on the theme of analytic functions$
Geometric fantasy on the theme of analytic functions

$Discrete groups generated by reflections$
Discrete groups generated by reflections

$Construction of complicated polyhedra from simple ones, I$
Construction of complicated polyhedra from simple ones, I
номер?

$Construction of complicated polyhedra from simple ones, II$
Construction of complicated polyhedra from simple ones, II
номер?

$Construction of complicated polyhedra from simple ones, III$
Construction of complicated polyhedra from simple ones, III

$Construction of complicated polyhedra from simple ones, IV$
Construction of complicated polyhedra from simple ones, IV

$From chaos to order$
From chaos to order

Mathematical inﬁnity

Mathematical inﬁnity

$Interior and boundary points of a manifold and symmetric spaces$
Interior and boundary points of a manifold and symmetric spaces

$Theory of oscillations and wave processes$
Theory of oscillations and wave processes

$Impact$
Impact

$Billiards and ergodicity$
Billiards and ergodicity

$The Poisson-Laplace theorem and the Plateau principles$
The Poisson-Laplace theorem and the Plateau principles

$A heavy top drifting in space$
A heavy top drifting in space

How does a drop of liquid tear loose?

How does a drop of liquid tear loose?

$Branched coverings over a sphere$
Branched coverings over a sphere

$Anti-Diirer. From the cycle: Dialogue with authors of the 16th century$
Anti-Diirer. From the cycle: Dialogue with authors of the 16th century

A stare

A retraction of a space onto a subspace of it

A retraction of a space onto a subspace of it

$Spines of two 3-dimensional compact closed hyperbolic manifolds of smallest complexity$
Spines of two 3-dimensional compact closed hyperbolic manifolds of smallest complexity

$Picture of a gas ﬂowing around a ball$
Picture of a gas ﬂowing around a ball

$Cellular spaces$
Cellular spaces

$Random processes in probability$
Random processes in probability

$Statistical fantasy$
Statistical fantasy

$The remarkable numbers pi and e, II$
The remarkable numbers π and e, II

$The remarkable numbers pi and e, I$
The remarkable numbers π and e, I

$Geometry and probability$
Geometry and probability

$Gaussian distributions, I$
Gaussian distributions, I

$Unstructured chaos and geometry$
Unstructured chaos and geometry

$Gaussian distributions, II$
Gaussian distributions, II

Homotopy and the tearing off of a drop from a hard surface

Homotopy and the tearing off of a drop from a hard surface

Homotopy and a viscous liquid

Homotopy and a viscous liquid

$Level surfaces of complicated smooth functions$
Level surfaces of complicated smooth functions

$Gradient descent$
Gradient descent

$Portrait of my wife, Tanya$
Portrait of my wife, Tanya

$Mathematical preciseness and the concept of a fuzzy set$
Mathematical preciseness and the concept of a fuzzy set

$Singular points of vector ﬁelds and the boundary layer in the ﬂow of a liquid around a rigid body$
Singular points of vector ﬁelds and the boundary layer in the ﬂow of a liquid around a rigid body

$The music club Topaz in the Mechanics—Mathematics Department of Moscow University$
The music club "Topaz" in the Mechanics - Mathematics Department of Moscow University

$The apocalypse (Revelation)$
The apocalypse (Revelation)

$The temptation of St. Anthony$
The temptation of St. Anthony

$Anti-Breughel. From the cycle: Dialogue with authors of the 16th century$
Anti-Breughel. From the cycle: Dialogue with authors of the 16th century

$Geometric fantasy$
Geometric fantasy

$Geometric fantasy$
Geometric fantasy

Topological restructuring of level surfaces of smooth functions on manifolds

Topological restructuring of level surfaces of smooth functions on manifolds

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MATHEMATICAL IMPRESSIONS