Fomenko A.T.
MATHEMATICAL IMPRESSIONS

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

POSTERS BY ANATOLY FOMENKO

Cellular spaces

No. 250, 1970

(Topology)

Oil on art board, 50 x 70 cm.

In this whirligig world of large shapes in a space, the landscape is molded by the forms that grow upon it. Whereas a whole is the sum of its parts, here the larger objects come about as clusters of soft, pliable cells, or smaller units of which they are made. Indeed, cellular complexes make up an important class of topological spaces, ones that can be gotten by gluing together balls homeomorphic to Euclidean balls of various dimensions. Once assembled, the resulting complex in a sense hardens and takes on a life of its own. Here, an infinite sequence of cells and a very complicated space fill the horizon.

 


Cellular spaces