n-SHAPE EQUIVALENCE AND TRIADS

نویسندگان

  • Takahisa Miyata
  • T. MIYATA
چکیده

This paper concerns the shape theory for triads of spaces which was introduced by the author. More precisely, in the first 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 dimensions of X0, X1, X0 ∩ X1 and X. In the second part, a Whitehead type theorem for triads of spaces and a Mayer-Vietoris type theorem concerning n-shape equivalence are obtained.

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تاریخ انتشار 2006