Results 21 to 30 of about 54 (43)

Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
Lattice‐valued fuzzy measures are lattice‐valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity.
Mehmet Şahin, Necati Olgun, F. Talay Akyıldız, Ali Karakuş, Alberto D′Onofrio   +4 more
wiley   +1 more source

Harnack Inequalities and ABP Estimates for Nonlinear Second‐Order Elliptic Equations in Unbounded Domains

Abstract and Applied Analysis, Volume 2008, Issue 1, 2008., 2008
We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP‐type estimates and weak maximum principles in general unbounded domains, a strong maximum ...
M. E. Amendola, L. Rossi, A. Vitolo, Y. Giga   +3 more
wiley   +1 more source

The compactificability classes of certain spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ...
Martin Maria Kovár
wiley   +1 more source

On mc‐hop Connectedness in the Monophonic c‐topological Spaces: Applications on Some Networks in the Human Optical System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce the concept of mc‐vertices in simple graphs and use monophonic paths to define a new class of vertex topologies, called monophonic c‐topologies. We investigate fundamental properties of these spaces, including openness‐minimizing behavior, compactness, and various forms of connectedness, and we characterize graphs that ...
Faten H. Damag, Amin Saif, Mohammed Alsharafi, Yusuf Zeren, Suliman Dawood, Smritijit Sen   +5 more
wiley   +1 more source

Line antiderivations over local fields and their applications

International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 2, Page 263-309, 2005., 2005
A non‐Archimedean antiderivational line analog of the Cauchy‐type line integration is defined and investigated over local fields. Classes of non‐Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent series representations are described.
S. V. Ludkovsky
wiley   +1 more source

Some applications of minimal open sets

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 471-476, 2001., 2001
We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre‐open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a pre‐Hausdorff space.
Fumie Nakaoka, Nobuyuki Oda
wiley   +1 more source

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Selective versions of acc and (a) spaces and the Alexandroff duplicate

AIP Conference Proceedings, 2022
Ljubisa Kočinac, Kočinac Ljubiša D R
exaly   +2 more sources

Alexandroff Homology and Path Homology

Mathematical Notes, 2022
Yury Muranov
exaly  

Alexandroff topologies and monoid actions

Forum Mathematicum, 2020
Federico Giovanni Infusino, Giampiero Chiaselotti   +1 more
exaly  

Topological realizations of groups in Alexandroff spaces

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
FRANCISCO Romero Ruiz Del Portal, Pedro José Chocano Feitó, Manuel Moron   +2 more
exaly