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The Topological Transversality Theorem for Multivalued Maps with Continuous Selections [PDF]

Mathematics, 2019
This paper considers a topological transversality theorem for multivalued maps with continuous, compact selections. Basically, this says, if we have two maps F and G with continuous compact selections and F ≅ G, then one map being essential ...
Donal O’Regan
doaj   +4 more sources

Continuous attractors with morphed/correlated maps. [PDF]

PLoS Computational Biology, 2010
Continuous attractor networks are used to model the storage and representation of analog quantities, such as position of a visual stimulus. The storage of multiple continuous attractors in the same network has previously been studied in the context of ...
Sandro Romani, Misha Tsodyks
doaj   +1 more source

Vague Continuous Mappings [PDF]

International Journal of Fuzzy Logic and Intelligent Systems, 2010
Up to now, in the area of fuzzy topology, almost all the researchers have investigated fuzzy continuities by using ordinary mappings. However, in this paper, we study continuities by using fuzzy mappings introduced by Demirci [2].
Pyung-Ki Lim, So-Ra Kim, Kul Hur
openaire   +1 more source

The continuous limit of large random planar maps [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space.
Jean-François Le Gall
doaj   +1 more source

On the homomorphisms of $\cap$-structure spaces [PDF]

Categories and General Algebraic Structures with Applications
In \cite{cap}, the concept of $\cap$-structure space is defined and it is studied from an algebraic and topological points of view. Indeed, the $\cap$-structure  is considered as a model for all algebraic substructures such as subgroups, subrings and ...
Elham Abdollahpour, Ali Aliabad, Jamal Hashemi   +2 more
doaj   +1 more source

The Continuity of Subdifferential Mapping

Journal of Mathematical Analysis and Applications, 1997
The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Wang, Jian-Hua, Nan, Chao-Xun
openaire   +1 more source

Study of Neutrosophic b-continuous maps in Neutrosophic Topological Spaces [PDF]

Neutrosophic Sets and Systems
Neutrosophic sets were introduced to deal with indeterminancy and persistent issues and they were used to develop the neutrosophic topological spaces.
Sujeewa Malkanthi, Panchadcharam Elango
doaj   +1 more source

On Fiber Diameters of Continuous Maps [PDF]

The American Mathematical Monthly, 2016
6 pages, 2 ...
Peter S. Landweber, Emanuel A. Lazar, Neel Patel   +2 more
openaire   +3 more sources

Continuous maps in the Bohr Topology

Applied General Topology, 2001
The Bohr topology of an Abelian group G is the initial topology on G with respect to the family of all homomorphisms of G into the circle group.
Dikran Dikranjan
doaj   +1 more source

Continuous Maps on Aronszajn Trees [PDF]

Order, 2011
6 ...
Kenneth Kunen, Jean A. Larson, Juris Steprans   +2 more
openaire   +3 more sources