Naslov
The finite coarse shape theory

Autori
Jelić, Ivan ; Koceić-Bilan, Nikola

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Znanstveni kolokvij znanstvenoga razreda Splitskoga matematičkoga društva

Mjesto i datum
Split, Hrvatska, 31.03.2023

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
topological space ; inverse system ; pro-category ; pro*-category ; shape ; finite coarse shape ; coarse shape ; shape group ; polyhedron ; exactness

Sažetak
Given an arbitrary category C, a category pro*(f)-C is constructed such that the known pro-C category may be considered as a subcategory of pro*(f)-C and that pro*(f)-C may be considered as a subcategory of pro*-C. Analogously to the construction of the shape category Sh((C, D)) and the coarse category Sh((C, D))*, an (abstract) finite coarse shape category Sh((C, D))*f is obtained. Between these three categories appropriate faithful functors are defined. The finite coarse shape is also defined by an intrinsic approach using the notion of the epsilon-continuity. The isomorphism of the finite coarse shape categories obtained by these two approaches is constructed. Besides, an overview of some basic properties related to the notion of the epsilon-continuity is given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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