Results 21 to 30 of about 6,505 (255)

SIFAT KOMPAK DALAM RUANG HAUSDORFF

open access: yesJurnal 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

On ∂-partial-locally compact space [PDF]

open access: yesMathematics and Computational Sciences, 2023
The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
doaj   +1 more source

Chordal Hausdorff Convergence and Quasihyperbolic Distance

open access: yesAnalysis 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

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

open access: yesTopics 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

On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected

open access: yesInternational 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
doaj   +1 more source

Compact and extremally disconnected spaces

open access: yesInternational 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
doaj   +1 more source

A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces

open access: yesJournal 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
doaj   +1 more source

Compactifications of Hausdorff Spaces [PDF]

open access: yesProceedings 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

On quasi-orbital space

open access: yesApplied General Topology, 2017
Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G  is the union of all orbits having the same closure as O.
Hawete Hattab
doaj   +1 more source

Ideal Hausdorff Space

open access: yesIOSR Journal of Mathematics, 2014
The aim of this paper is to study some properties of ideal Hausdorff space. We introduce some new concepts in ideal topological space such as convergence of sequences and the concepts of Hausdorff axiom in ideal topological space.
C.R Parvathy, E Divya
openaire   +1 more source

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