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141.
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143.
Invariants of multi-linkoids
Boštjan Gabrovšek, Neslihan Gügümcü, 2023, original scientific article

Abstract: In this paper, we extend the definition of a knotoid to multilinkoids that consist of a finite number of knot and knotoid components. We study invariants of multi-linkoids, such as the Kauffman bracket polynomial, ordered bracket polynomial, the Kauffman skein module, and the $T$-invariant in relation with generalized $\Theta$-graphs.
Keywords: knotoid, multi-linkoid, spatial graph, Kauffman bracket polynomial, Kauffman bracket skein module, theta-curve, theta-graph
Published in DiRROS: 15.03.2024; Views: 54; Downloads: 32
.pdf Full text (924,28 KB)
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144.
145.
Management of cetuximab-induced skin toxicity with prophylactic use of topical vitamin K1 cream
Janja Ocvirk, 2010, short scientific article

Published in DiRROS: 15.03.2024; Views: 60; Downloads: 21
.pdf Full text (513,40 KB)

146.
Reflexivity of the space of transversal distributions
Jure Kališnik, 2023, original scientific article

Abstract: For any smooth, Hausdorff and second-countable manifold $N$ one can define the Fréchet space ${\mathcal C}^{\infty}(N)$ of smooth functions on $N$ and its strong dual ${\cal E}'(N)$ of compactly supported distributions on $N$. It is a standard result that the strong dual of ${\cal E}'(N)$ is naturally isomorphic to ${\mathcal C}^{\infty}(N)$, which implies that both ${\mathcal C}^{\infty}(N)$ and ${\cal E}'(N)$ are reflexive locally convex spaces. In this paper we generalise that result to the setting of transversal distributions on the total space of a surjective submersion $\pi : P\to M$. We show that the strong ${\mathcal C}^{\infty}_c(M)$-dual of the space ${\cal E}'_{\pi} (P)$ of $\pi$-transversal distributions is naturally isomorphic to the ${\mathcal C}^{\infty}_c(M)$-module ${\mathcal C}^{\infty}(P)$.
Keywords: distributions with compact support, Fréchet spaces, transversal distributions, homomorphisms of modules, reflexive modules
Published in DiRROS: 15.03.2024; Views: 48; Downloads: 28
.pdf Full text (332,43 KB)
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147.
Rigidity of terminal simplices in persistent homology
Aleksandra Franc, Žiga Virk, 2023, original scientific article

Abstract: Given a filtration function on a finite simplicial complex, stability theorem of persistent homology states that the corresponding barcode is continuous with respect to changes in the filtration function. However, due to the discrete setting of simplicial complexes, the simplices terminating matched bars cannot change continuously for arbitrary perturbations of filtration functions. In this paper we provide a sufficient condition for rigidity of a terminal simplex, i.e., a condition on $\varepsilon > 0$ implying that the terminal simplex of a homology class or a bar in persistent homology remains constant through $\varepsilon$-perturbations of filtration function. The condition for a homology class or a bar in dimension $n$ depends only on the barcodes in dimensions $n$ and $n+1$.
Keywords: persistent homology, stability theorem, terminal simplex, rigidity
Published in DiRROS: 15.03.2024; Views: 55; Downloads: 36
.pdf Full text (476,36 KB)
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149.
Post-treatment surveillance in colorectal cancer
Vaneja Velenik, 2010, review article

Published in DiRROS: 15.03.2024; Views: 56; Downloads: 21
.pdf Full text (643,11 KB)

150.
Gonadal function in patients treated for Hodgkin's disease in childhood
Lorna Zadravec-Zaletel, Nevenka Bratanič, Berta Jereb, 2010, original scientific article

Published in DiRROS: 15.03.2024; Views: 54; Downloads: 23
.pdf Full text (652,65 KB)

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