Naslov
Morphisms of inverse systems require meshes

Autori
Mardešić, Sibe ; Uglešić, Nikica

Izvornik
Tsukuba journal of mathematics (0387-4982) 20 (1996), 2; 357-363

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
inverse system ; resolution ; mapping of inverse systems ; approximatemapping of inverse systems

Sažetak
Resolution of spaces can be viewed as special inverse systems, which behave very much like inverse systems behave in the compact case. T.Watanabe defined a category of polyhedral resolutions and showed that the limit functor defines a natural equivalence between this categories and the category of topologically complete spaces. In order to develop his theory he had to consider gauged inverse systems, i.e., inverse systems whose terms are endowed with certain coverings, called meshes. This paper is devoted to the question if one can develop an analogous theory for usual (nongauged) inverse systems. An example is exhibited, which suggests a negative answer.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA