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Intersection Graphs of Monoids in a Graphical Homotopy Framework via Path Spaces and Homogeneous Structures: Some Applications to Graphical Comprehensive Monoids

open access: yesMathematics
In this work, we construct a homotopy theory for a class of intersection graphs arising from topological monoids. We introduce the M-intersection graph of a τe-monoid, where the vertices correspond to proper τe-submonoids and adjacency is defined by ...
Maryam F. Alshammari   +2 more
doaj   +1 more source

The homotopy exact sequence of a pair of graphs - 10.4025/actascitechnol.v35i4.15775 The homotopy exact sequence of a pair of graphs - doi: 10.4025/actascitechnol.v35i4.15775

open access: yesActa Scientiarum: Technology, 2013
Higher homotopy of graphs has been defined in several articles. However, the existence of a long exact sequence associated to a pair (G, A) has not been touched at. We treat it here.
Mohamed Elamine Talbi, Djilali Benayat
doaj   +1 more source

INDEX COMPUTATION OF SOME BISINGULAR OPERATORS WITH SHIFT BY HOMOTOPY METHOD

open access: yesВестник Донского государственного технического университета, 2018
The work continues to research the insufficiently explored problem of bisingular operators with shift index. It considers new cases of index computation of the bisingular operators with indisintegrative involutive shift by the homotopy method.
S. V. EFIMOV
doaj  

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

Anaphores, stratégies discursives et genres textuels [PDF]

open access: yesEcho des Etudes Romanes, 2012
In this paper, we start with the fact that every text presents a dominating shape of anaphoric relations. We wish to experiment the communicative dynamism of anaphora in two text genres: scientific written one versus essay.
Brigitte Wiederspiel
doaj  

On bifurcation points of strongly condensing operators

open access: yesНаучный вестник МГТУ ГА, 2016
Two conditions equivalent to complete continuity of Frechet derivative at a point and the asymptotic derivative in the case of their existence are given. Theorem of M.A. Krasnosel’skii on asymptotic bifurcation points for completely con-tinuous fields to
N. A. Erzakova
doaj  

Generalized Energy Flow Analysis Considering Electricity Gas and Heat Subsystems in Local-Area Energy Systems Integration

open access: yesEnergies, 2017
To alleviate environmental pollution and improve the efficient use of energy, energy systems integration (ESI)—covering electric power systems, heat systems and natural gas systems—has become an important trend in energy utilization.
Jiaqi Shi   +3 more
doaj   +1 more source

A model of quotient spaces

open access: yesTopological Algebra and its Applications, 2017
Let R be an open equivalence relation on a topological space E. We define on E a new equivalence relation ̃ℜ̅ by x̃ ̃ℜ̅y if the closure of the R-trajectory of x is equal to the closure of the R-trajectory of y.
Hattab Hawete
doaj   +1 more source

Nadler and Kannan Type Set Valued Mappings in M-Metric Spaces and an Application

open access: yesMathematics, 2019
This article intends to initiate the study of Pompeiu–Hausdorff distance induced by an M-metric. The Nadler and Kannan type fixed point theorems for set-valued mappings are also established in the said spaces.
Pradip R. Patle   +4 more
doaj   +1 more source

Elliptic systems at resonance for jumping non-linearities

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the existence of nontrivial solutions for the problem $$\displaylines{ -\Delta u=\alpha _1u^{+}-\beta _1u^{-}+f(x,u,v)+h_1( x) \quad \text{in }\Omega, \cr -\Delta v=\alpha _2v^{+}-\beta _2v^{-}+g(x,u,v)+h_2( x) \quad \text ...
Hakim Lakhal, Brahim Khodja
doaj  

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