scholarly journals Strongly metrizable spaces of large dimension each separable subspace of which is zero-dimensional

1978 ◽  
Vol 39 (1) ◽  
pp. 25-27 ◽  
Author(s):  
Elżbieta Pol
Keyword(s):  
Large Dimension ◽  
Separable Subspace ◽  
Metrizable Spaces

Universal elements for families of separable metrizable spaces

1998 ◽  
Vol 91 (6) ◽  
pp. 3387-3415
Author(s):  
D. N. Georgiou ◽  
S. D. Iliadis
Keyword(s):  
Metrizable Spaces

scholarly journals Several results on compact metrizable spaces in $$\mathbf {ZF}$$

2021 ◽  
Author(s):  
Kyriakos Keremedis ◽  
Eleftherios Tachtsis ◽  
Eliza Wajch
Keyword(s):  
Continuum Hypothesis ◽  
Compact Spaces ◽  
Power Set ◽  
Compact Metrizable Space ◽  
Permutation Models ◽  
Independence Results ◽  
The Axiom Of Choice ◽  
Metrizable Spaces ◽  
Transfer Theorems ◽  
The Continuum

AbstractIn the absence of the axiom of choice, the set-theoretic status of many natural statements about metrizable compact spaces is investigated. Some of the statements are provable in $$\mathbf {ZF}$$ ZF , some are shown to be independent of $$\mathbf {ZF}$$ ZF . For independence results, distinct models of $$\mathbf {ZF}$$ ZF and permutation models of $$\mathbf {ZFA}$$ ZFA with transfer theorems of Pincus are applied. New symmetric models of $$\mathbf {ZF}$$ ZF are constructed in each of which the power set of $$\mathbb {R}$$ R is well-orderable, the Continuum Hypothesis is satisfied but a denumerable family of non-empty finite sets can fail to have a choice function, and a compact metrizable space need not be embeddable into the Tychonoff cube $$[0, 1]^{\mathbb {R}}$$ [ 0 , 1 ] R .

Optimal metrics on metrizable spaces

1971 ◽  
Vol 22 (1) ◽  
pp. 660-663
Author(s):  
Ludvik Janos
Keyword(s):  
Metrizable Spaces

scholarly journals Large dimension forecasting models and random singular value spectra

2006 ◽  
Vol 55 (2) ◽  
pp. 201-207 ◽  
Author(s):  
J.-P. Bouchaud ◽  
L. Laloux ◽  
M. A. Miceli ◽  
M. Potters
Keyword(s):  
Singular Value ◽  
Large Dimension ◽  
Forecasting Models

Interval estimation in discriminant analysis for large dimension

2017 ◽  
Vol 46 (18) ◽  
pp. 9042-9052 ◽  
Author(s):  
Takayuki Yamada ◽  
Tetsuto Himeno ◽  
Tetsuro Sakurai
Keyword(s):  
Discriminant Analysis ◽  
Interval Estimation ◽  
Large Dimension

Strong coupling phase in lattice gauge theories at large dimension

1979 ◽  
Vol 161 (2-3) ◽  
pp. 397-416 ◽  
Author(s):  
J.-M. Drouffe ◽  
G. Parisi ◽  
N. Sourlas
Keyword(s):  
Strong Coupling ◽  
Gauge Theories ◽  
Large Dimension ◽  
Coupling Phase ◽  
Lattice Gauge ◽  
Lattice Gauge Theories
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