Metrization of pro-morphism sets

Uglešić, Nikica

doi:10.3336/gm.44.2.15

Cited by 2 publications

(4 citation statements)

References 14 publications

(20 reference statements)

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“…This proposition follows by Theorem 3.2, properties of the coarse shape functor defined in [1] and Corollary 3.3 of [9].…”

Section: Topological Coarse Shape Groups Of Compact Metric Spacesmentioning

confidence: 67%

“…Also, it is known that shape groups can be embedded into coarse shape groups by the homomorphism induced by the functor J (HT op0,HP ol0) (see [1]). By combining this fact with Theorem 2.3. of [9], we can deduce the next proposition.…”

Section: Topological Coarse Shape Groups Of Compact Metric Spacesmentioning

confidence: 83%

“…The corresponding homeomorphisms are induced by natural isomorphisms between expansions (Theorem 6. in [8] and Theorem 6. in [9]). Thus, the natural bijections…”

Section: Ultrametrization Of Shape and Coarse Shape Groupmentioning

confidence: 99%

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Topological coarse shape groups of compact metric spaces

Bilan¹,

Čuka²

2017

Rad Hrvatske akademije znanosti i umjetnosti

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Abstract. The shape theory and, relatively new, coarse shape theory are very useful in studying of topological spaces, as well as of the corresponding algebraic invariants, especially, shape and coarse shape groups. By using certain ultrametrics on special sets of pro-and pro * -morphisms, we topologize those groups when they refer to compact metric spaces and we get topological groups. In the shape case, they are isomorphic to recently constructed topological shape homotopy groups, while in the coarse shape case we get the coarse shape invariants, denoted byπ * d * k (X, x 0 ). We have proven some important properties ofπ * d * k (X, x 0 ) and provided few interesting examples.

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“…This proposition follows by Theorem 3.2, properties of the coarse shape functor defined in [1] and Corollary 3.3 of [9].…”

Section: Topological Coarse Shape Groups Of Compact Metric Spacesmentioning

confidence: 67%

Section: Topological Coarse Shape Groups Of Compact Metric Spacesmentioning

confidence: 83%

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Topological coarse shape groups of compact metric spaces

Bilan¹,

Čuka²

2017

Rad Hrvatske akademije znanosti i umjetnosti

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“…Među ovim malobrojnim ulomcima moguće je izdvojiti šest različitih posuda, od kojih je dvije bilo moguće rekonstruirati. 6 Jedna od rekonstruiranih posuda (kat. 1) pronađena je čišćenjem vanjske strane temeljne stope sjevernog zida sjeverne crkve, a druga (kat.…”

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Nalazi slavenske keramike s lokaliteta Podvršje - Glavčine

Gusar

2009

Archaeologia Adriatica

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The site of Podvršje-Glavčine is situated in the vicinity of Zadar and it was excavated in several archaeological campaigns from 2002 to 2007 under the leadership of A. Uglešić. During the research an early Christian complex consisting of double basilicae with ancillary rooms and a cemetery was discovered on this position. Besides architectural remains, great number of fragments of stone furniture and architectural decoration was discovered in this complex, as well as fragments of ceramic and glass vessels belonging to Late Antiquity. The entire complex was destroyed in a fire during the first half or middle of the 7th century, as indicated by archaeological finds, and the results of radiocarbon analysis. Among finds which for the most part belong to Late Antiquity, fragments of early medieval ceramic vessels of Slavic technological-typological characteristics found chiefly in the front part of the northern church are particularly interesting. There were six such vessels among which we can distinguish hand made pottery and the one made on slow-turning potter's wheel, as well as undecorated and decorated vessels. Motif of wavy lines between parallel lines is dominant on decorated examples. All vessels are represented by sherds of pots, made of purified clay tempered with calcite grains, and their colour varies depending on the firing process. On the basis of analysis pots can be dated to the second half of the 7th and the first half of the 8th century. It is worth mentioning that these vessels belong to early medieval finds from a settlement which are extremely rare in Dalmatia representing the least explored segment of early medieval pottery production. It is also important to emphasize that these vessels are the only early medieval find at this site. Despite the paucity of these vessels, they represent an exceptionally important testimony of the presence of newly arrived Slavs who used dilapidated early Christian complex at Glavčine as a temporary shelter suitable for a shorter stay.

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Metrization of pro-morphism sets

Cited by 2 publications

References 14 publications

Topological coarse shape groups of compact metric spaces

Topological coarse shape groups of compact metric spaces

Nalazi slavenske keramike s lokaliteta Podvršje - Glavčine

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