Results 31 to 40 of about 93,950 (215)
Topics in Cognitive Science, EarlyView., 2023 Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich +1 more
wiley +1 more source
SIFAT KOMPAK DALAM RUANG HAUSDORFF
Jurnal Matematika, 2012 The inspiration of the definition of “compactness” comes from the real number system. Closed and bounded sets in the real line were considered as an excellent model to show a generalized version of the compactness in a topological space.
LUH PUTU IDA HARINI
doaj +1 more source
Pinning Down versus Density [PDF]
, 2015 The pinning down number $ {pd}(X)$ of a topological space $X$ is the smallest cardinal $\kappa$ such that for any neighborhood assignment $U:X\to \tau_X$ there is a set $A\in [X]^\kappa$ with $A\cap U(x)\ne\emptyset$ for all $x\in X$. Clearly, c$(X) \le {
Juhász, István +2 more
core +2 more sources
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
core +6 more sources
Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
doaj +1 more source
Enriched Stone-type dualities [PDF]
, 2017 A common feature of many duality results is that the involved equivalence functors are liftings of hom-functors into the two-element space resp. lattice.
Hofmann, Dirk, Nora, Pedro
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1998 We prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff ...
V. Tzannes
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Compact and extremally disconnected spaces
International Journal of Mathematics and Mathematical Sciences, 2004 Viglino defined a Hausdorff topological space to be C-compact if each closed subset of the space is an H-set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S-set ...
Bhamini M. P. Nayar
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Compactifications of Hausdorff Spaces [PDF]
Proceedings of the American Mathematical Society, 1969 1. Introduction. In this paper, we describe methods of imbedding a Hausdorff space X in a compact space X so that each function in a given family of continuous functions on X has a continuous extension to X and the family of extensions separates the points of X -X. In particular, if X is completely regular but not locally compact, then we shall exhibit
openaire +1 more source
A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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