Skip to the main content

Original scientific paper

The existence of n-shape theory for arbitrary compacta

Rolando Jimenez
Leonard R. Rubin


Full text: english pdf 671 Kb

page 123-132

downloads: 840

cite


Abstract

Shape theory is an extension of homotopy theory which uses the idea of homotopy in its conception. By comparision, the theory of n-shape, which heretofore only has been defined for metrizable compacta, has as its basic notion that of n-homotopy instead of homotopy. We shall demonstrate that the theory of n-shape extends to the class of all Hausdorff compacta.

Keywords

Dimension; shape theory; n-shape theory; approximate inverse system

Hrčak ID:

8179

URI

https://hrcak.srce.hr/8179

Publication date:

1.6.1998.

Visits: 1.393 *