Naslov
Absolute neighborhood retracts and shape theory

Autori
Mardešić, Sibe

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
History of Topology

Urednik/ci
James, I. M.

Izdavač
Elsevier

Grad
Amsterdam

Godina
1999

Raspon stranica
241-269

ISBN
978-0-444-82375-5

Ključne riječi
Absolute neighborhood retract, CW-complex, shape theory

Sažetak
Absolute neighborhood retracts (ANR's) and spaces having the homotopy type of ANR's, like polyhedra and CW-complexes, form the natural environment for homotopy theory. Homotopy-like properties of more general spaces (shape properties) are studied in shape theory. This is done by approximating arbitrary spaces by ANR's. More precisely, one replaces spaces by suitable systems of ANR's and one develops a homotopy theory of systems. This approach links the theory of retracts to the theory of shape. It is, therefore, natural to consider the history of both of these areas of topology in one article. A further justification for this is the circumstance that both theories owe their fundamental ideas to one mathematician, Karol Borsuk. We found it convenient to organize the article in two sections, devoted to retracts and to shape, respectively.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA