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Glasnik matematički, Vol. 36 No. 2, 2001.

Original scientific paper

n-Shape equivalence and triads

Takahisa Miyata

Full text: english pdf 162 Kb

page 247-262

downloads: 292

cite

Abstract

This paper concerns the shape theory for triads of spaces which was intoduced by the author. More precisely, in the forst part, the shape dimension for triads of spaces (X; X0, X1) is introduced, and its upper and lower bounds are given in terms of the shape dimension of X0, X1, X0 ∩ X1 and X. In the second part, a Whitehead type theorem for triad of spaces and a Mayer-Vietoris type theorem concerning n-shape equivalence are obtained.

Keywords

Shape; triad; n-shape equivalence; Whitehead theorem; shape dimension

Hrčak ID:

4838

URI

https://hrcak.srce.hr/4838

Publication date:

1.12.2001.

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