Naslov
Classifications coarser than shape

Autori
Uglešić, Nikica

Izvornik
Mathematical communications (1331-0623) 13 (2008), 2; 193-213

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pregledni rad, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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