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Classifications coarser than shape (CROSBI ID 151952)

Prilog u časopisu | pregledni rad (znanstveni) | međunarodna recenzija

Uglešić, Nikica Classifications coarser than shape // Mathematical communications, 13 (2008), 2; 193-213

Podaci o odgovornosti

Uglešić, Nikica

engleski

Classifications coarser than shape

About thirty years ago, in the time of an intensive study of the shape theory, several classifications of metric compacta coarser than shape were introduced. Two of them have been of a special interest: The quasi-equivalence (K. Borsuk, 1976) and S-equivalence (S. Mardešić, 1978). In the last decade a much deeper view into these relations has been achieved. In attempt to characterize or, at least, describe them in a category framework on purpose of easier operative studying, several new classifications and new "shape" theories occurred. The most interesting among them are the coarse and weak shape theory. This paper is intended to be an exhaustive survey of the new classifications and corresponding theories, their mutual relations and the most important results.

shape ; quasi-equivalence ; q-equivalence ; S-equivalence ; S^{; ; ; ∗ }; ; ; -equivalence ; S_{; ; ; n}; ; ; -equivalence ; coarse shape ; weak shape.

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Podaci o izdanju

13 (2)

2008.

193-213

objavljeno

1331-0623

1848-8013

Povezanost rada

Matematika

Poveznice
Indeksiranost