Zobrazeno 1 - 6
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pro vyhledávání: '"Khokhliuk, Oleksandra"'
Publikováno v:
Journal of Homotopy and Related Structures, 18 (2023) 313-356
Let $T= S^1\times D^2$ be the solid torus, $\mathcal{F}$ the Morse-Bott foliation on $T$ into $2$-tori parallel to the boundary and one singular circle $S^1\times 0$, which is the central circle of the torus $T$, and $\mathcal{D}(\mathcal{F},\partial
Externí odkaz:
http://arxiv.org/abs/2210.11043
Let $\mathcal{F}$ be a foliation with a "singular" submanifold $B$ on a smooth manifold $M$ and $p:E \to B$ be a regular neighborhood of $B$ in $M$. Under certain "homogeneity" assumptions on $\mathcal{F}$ near $B$ we prove that every leaf preserving
Externí odkaz:
http://arxiv.org/abs/2208.05876
Publikováno v:
Proceedings of the International Geometry Center, vol. 12, no. 2 (2020) 68-108
Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with weak $C^{r}$ Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset. It is proved that for $0\leq r
Externí odkaz:
http://arxiv.org/abs/2008.11991
Publikováno v:
Indagationes Mathematicae, vol. 31, no. 2 (2020) 185-203
Let $f:M\to\mathbb{R}$ be a Morse-Bott function on a closed manifold $M$, so the set $\Sigma_f$ of its critical points is a closed submanifold whose connected components may have distinct dimensions. Denote by $\mathcal{S}(f) = \{h \in \mathcal{D}(M)
Externí odkaz:
http://arxiv.org/abs/1808.03582
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Let $T= S^1\times D^2$ be the solid torus, $\mathcal{F}$ the \textit{singluar} foliation on $T$ into $2$-tori parallel to the boundary and one singular circle $S^1\times 0$, which is the central circle of the torus $T$, and $\mathcal{D}(\mathcal{F},\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c4693d3e64de7943caedbb75a4fa1b7
http://arxiv.org/abs/2210.11043
http://arxiv.org/abs/2210.11043