Zobrazeno 1 - 10
of 210
pro vyhledávání: '"57N20"'
Autor:
Nazra, Admi
In this paper, we proved that there exist four distinct diffeomorphism classes of three-dimensional real Bott tower $M(A)=(S^1)^3/(\mathbb{Z}_2)^3$, and 12 distinct diffeomorphism classes of four-dimensional real Bott tower $M(A)=(S^1)^4/(\mathbb{Z}_
Externí odkaz:
http://arxiv.org/abs/2309.03200
Locally convex (or nondegenerate) curves in the sphere $S^n$ (or the projective space) have been studied for several reasons, including the study of linear ordinary differential equations of order $n+1$. Taking Frenet frames allows us to obtain corre
Externí odkaz:
http://arxiv.org/abs/2205.10928
Autor:
Koshino, Katsuhisa
In this paper, we give a characterization of compact sets in $L^p$-spaces on metric measure spaces, which is a generalization of the Kolmogorov-Riesz theorem. Using the criterion, we investigate the topological type of the space consisting of lipschi
Externí odkaz:
http://arxiv.org/abs/2205.06864
Autor:
Koshino, Katsuhisa
For a separable locally compact but not compact metrizable space $X$, let $\alpha X = X \cup \{x_\infty\}$ be the one-point compactification with the point at infinity $x_\infty$. We denote by $EM(X)$ the space consisting of admissible metrics on $X$
Externí odkaz:
http://arxiv.org/abs/2202.08615
If $H$ is a Hilbert space, the Stiefel manifold $St(n,H)$ is formed by all the independent $n$-tuples in $H$. In this article, we contribute to the topological study of Stiefel manifolds by proving a path-connectedness result. We prove that the inter
Externí odkaz:
http://arxiv.org/abs/2201.12642
Autor:
Goulart, Victor, Saldanha, Nicolau C.
Locally convex curves in the sphere $S^n$ have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames obtains corresponding curves $\Gamma$ in the group $Spin_{n+1}$; $\Pi: Spin_{n+1} \to
Externí odkaz:
http://arxiv.org/abs/2112.14539
Autor:
Koshino, Katsuhisa
For a metrizable space $X$ of density $\kappa$, let $PM(X)$ be the space of continuous bounded pseudometrics on $X$ endowed with the uniform convergence topology. In this paper, its topology shall be classified as follows: (i) If $X$ is finite, then
Externí odkaz:
http://arxiv.org/abs/2112.07237
Publikováno v:
Journal of Mathematical Analysis and Applications Volume 509, Issue 2, 15 May 2022, 125934
For every tuple $d_1,\dots, d_l\geq 2,$ let $\mathbb{R}^{d_1}\otimes\cdots\otimes\mathbb{R}^{d_l}$ denote the tensor product of $\mathbb{R}^{d_i},$ $i=1,\dots,l.$ Let us denote by $\mathcal{B}(d)$ the hyperspace of centrally symmetric convex bodies i
Externí odkaz:
http://arxiv.org/abs/2104.14509
Autor:
Banakh, Taras
Let $M$ be an ANR space and $X$ be a homotopy dense subspace in $M$. Assume that $M$ admits a continuous binary operation $*:M\times M\to M$ such that for every $x,y\in M$ the inclusion $x*y\in X$ holds if and only if $x,y\in X$. Assume also that the
Externí odkaz:
http://arxiv.org/abs/2102.03648
If $H$ is a Hilbert space, the non-compact Stiefel manifold $St(n,H)$ consists of independent $n$-tuples in $H$. In this article, we contribute to the topological study of non-compact Stiefel manifolds, mainly by proving two results on the path-conne
Externí odkaz:
http://arxiv.org/abs/2101.00322