Results 51 to 60 of about 3,484,215 (187)

On Verifying and Engineering the Well-gradedness of a Union-closed Family

open access: yes, 2008
Current techniques for generating a knowledge space, such as QUERY, guarantees that the resulting structure is closed under union, but not that it satisfies wellgradedness, which is one of the defining conditions for a learning space.
Birkhoff   +22 more
core   +4 more sources

DECOMPOSITIONS OF TOPOLOGICAL FUNCTIONS

open access: yesJournal of New Theory, 2016
Abstaract−We obtain new classes of sets by using λ-closed sets in topological spaces and study their basic properties; and their connections with other kind of topological sets.
Otchana Thevar Ravi   +2 more
doaj  

A combinatorial model for the free loop fibration

open access: yes, 2018
We introduce the abstract notion of a closed necklical set in order to describe a functorial combinatorial model of the free loop fibration $\Omega Y\rightarrow \Lambda Y\rightarrow Y$ over the geometric realization $Y=|X|$ of a path connected simplicial
Rivera, Manuel, Saneblidze, Samson
core   +1 more source

Between *-Closed Sets and Iw-Closed Sets

open access: yesJournal of New Results in Science, 2013
–closed sets ( Iω-closed sets ) and further properties of Iˆg-closedsets are investigated. In this paper, we introduce the notion ofImω-closed sets and obtain the unified characterizations for certain families of subsets between -closed sets and Iω-closed setsin an ideal topological ...
RAVİ, O., RODRİGO, J.antony Rex
openaire   +2 more sources

New topological approach of generalized closed sets

open access: yesJournal of New Results in Science, 2015
Closedness is a basic concept for the study and the investigation in the general topological spaces. (Fukutake, Nasef and El- Maghrabi, 2003) introduced a new weakly form of generalized closed sets,γg−closed set, which is weaker than both of gs−closed ...
Arafa Nasef, Roshdey Mareay
doaj  

Closed sets without measurable matching [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
We construct a rectangle in the unit square such that its perimeter contains a matching (i.e. the graph of a bijection of the unit interval onto itself) but does not contain a Borel matching or a matching measurable with respect to the linear measure.
openaire   +1 more source

On Nano πgα-Closed Sets

open access: yesJournal of New Theory, 2018
In this paper, we define and study the properties of a nano πgα-closed set which isa weaker form of a nano πg-closed set but strong than a nano πgp-closed sets and we define a newclass of sets called nano πgα-closed sets and some of their properties ...
İlangovan Rajasekaran, Ochanan Nethaji
doaj  

C2AE: Class Conditioned Auto-Encoder for Open-set Recognition

open access: yes, 2019
Models trained for classification often assume that all testing classes are known while training. As a result, when presented with an unknown class during testing, such closed-set assumption forces the model to classify it as one of the known classes ...
Oza, Poojan, Patel, Vishal M
core   +1 more source

EXTENSIONS GENERATED BY CLOSED SETS

open access: yesTamkang Journal of Mathematics, 1993
From the nonempty collection of all closed sets $(Y)$ of any topological space $(X , \tau)$, Schmidt generates a topological space $(Y,\mathcal{U})$. In this paper, we give some properties of this topological space. We determined when $(f,(Y,\mathcal{U}))$ is an extension of $(X , \tau)$.
Abd El-Monsef, M. E.   +2 more
openaire   +3 more sources

The Completeness Criterion for Closure Operator with the Equality Predicate Branching on the Set of Multioperations on Two-Element Set

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Multioperations are operations from a finite set A to set of all subsets of A. The usual composition operator leads to a continuum of closed sets. Therefore, the research of closure operators, which contain composition and other operations becomes ...
V.I. Panteleev, L. Riabets
doaj   +1 more source

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