Zobrazeno 1 - 10
of 249
pro vyhledávání: '"Cardinality of the continuum"'
Publikováno v:
Archive for Mathematical Logic. 60:495-523
Continuing (Fuchino et al. in Arch Math Log, 2020. https://doi.org/10.1007/s00153-020-00730-x), we study the Strong Downward Lowenheim–Skolem Theorems (SDLSs) of the stationary logic and their variations. In Fuchino et al. (2020) it has been shown
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b21aad841c031d3db9373850334cd25
https://doi.org/10.1007/s00153-020-00751-6
https://doi.org/10.1007/s00153-020-00751-6
Autor:
V.S. Atabekyan
Publikováno v:
Proceedings of the YSU A: Physical and Mathematical Sciences. 54:81-86
In this paper we prove that the set of non-isomorphic 2-generated $C^*$-simple relatively free groups has the cardinality of the continuum. A non-trivial identity is satisfied in any (not absolutely free) relatively free group. Hence, they cannot con
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https://explore.openaire.eu/search/publication?articleId=doi_________::cc14c9c752629836881c45df7703df5a
https://doi.org/10.46991/pysu:a/2020.54.2.081
https://doi.org/10.46991/pysu:a/2020.54.2.081
Autor:
G. G. Gevorgyan, A. L. Gevorgyan
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 55:1-4
A group is called an $$n$$-torsion group if it has a system of defining relations of the form $$r^{n}=1$$ for some elements $$r$$, and for any of its finite order element $$a$$ the defining relation $$a^{n}=1$$ holds. In this paper, we prove that all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85a4730a26bd3fb6242851d36b3d9f1d
https://doi.org/10.3103/s1068362320010045
https://doi.org/10.3103/s1068362320010045
Autor:
A. I. Budkin
Publikováno v:
Algebra and Logic. 58:214-223
It is proved that there exists a set ℛ of quasivarieties of torsion-free groups which (a) have an ω-independent basis of quasi-identities in the class 𝒦0 of torsion-free groups, (b) do not have an independent basis of quasi-identities in 𝒦0,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdffcbbf96e7115cac36d23262d34c92
https://doi.org/10.1007/s10469-019-09539-x
https://doi.org/10.1007/s10469-019-09539-x
Autor:
Tomoo Yokoyama
Publikováno v:
Topology and its Applications. 254:171-175
In this paper, we consider the question whether the leaf space of a foliation on a manifold is T 0 if and only if each leaf is proper. In general, the answer is negative because there is a codimension one foliation of a non-paracompact 3-dimensional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b66f68b943b2eb64d814e99e737c0b78
https://doi.org/10.1016/j.topol.2018.12.008
https://doi.org/10.1016/j.topol.2018.12.008
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Let $\mathscr{B}(X)$ denote the Banach algebra of bounded operators on $X$, where~$X$ is either Tsirelson's Banach space or the Schreier space of order $n$ for some $n\in\mathbb N$. We show that the lattice of closed ideals of~$\mathscr{B}(X)$ has a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea840e5a06610e3ea3e028281c43e37f
https://doi.org/10.1016/j.jfa.2020.108668
https://doi.org/10.1016/j.jfa.2020.108668
Autor:
Ayal Sharon
Publikováno v:
SSRN Electronic Journal.
According Georg Cantor's "Cardinality of the Continuum", as proved in Euclidean geometry, any line segment (not inclusive of its two end points) has as many points as an entire line. This theorem is an underlying assumption of the "Continuum Hypothes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97c8ed03b7f47d2c29378b80cbb811ce
https://doi.org/10.2139/ssrn.3561326
https://doi.org/10.2139/ssrn.3561326
Autor:
N.A. Carlson
Publikováno v:
Topology and its Applications. 249:103-111
Motivated by results of Juhasz and van Mill in [13] , we define the cardinal invariant w t ( X ) , the weak tightness of a topological space X , and show that | X | ≤ 2 L ( X ) w t ( X ) ψ ( X ) for any Hausdorff space X (Theorem 2.8). As w t ( X
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::caa68e61cc07fe81a7dabec0ec4908c7
https://doi.org/10.1016/j.topol.2018.09.014
https://doi.org/10.1016/j.topol.2018.09.014
Autor:
Yan-Song Fu
Publikováno v:
Journal of Fourier Analysis and Applications. 25:732-750
A discrete set $$\Lambda \subseteq {\mathbb {R}}^d$$ is called a spectrum for the probability measure $$\mu $$ if the family of functions $$\{e^{2 \pi i \langle \lambda ,\, x\rangle }: \lambda \in \Lambda \}$$ forms an orthonormal basis for the Hilbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a45e9a42a3e5660138de41a66284cbd
https://doi.org/10.1007/s00041-018-9621-7
https://doi.org/10.1007/s00041-018-9621-7