Glasnik Matematicki, Vol. 33, No.1 (1998), 123-132.
THE EXISTENCE OF n-SHAPE THEORY FOR
Rolando Jimenez and Leonard R. Rubin
Instituto de Matematicas, Unidad Morelia, Nicolas Romero 150, Centro
Department of Mathematics, The Univesity of Oklahoma,
601 Elm Avenue, Room 423, Norman, OK 73019, USA
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.
1991 Mathematics Subject Classification.
Key words and phrases. Dimension, shape theory,
n-shape theory, approximate inverse system.
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