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Continuous attractors with morphed/correlated maps. [PDF]

open access: yesPLoS 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]

open access: yesInternational 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   +2 more sources

The continuous limit of large random planar maps [PDF]

open access: yesDiscrete 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]

open access: yesCategories 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   +2 more
doaj   +1 more source

Continuous Maps on Aronszajn Trees [PDF]

open access: yesOrder, 2011
6 ...
Kenneth Kunen   +2 more
openaire   +4 more sources

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

open access: yesNeutrosophic 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

Extendability of Continuous Maps Is Undecidable [PDF]

open access: yesDiscrete & Computational Geometry, 2013
We consider two basic problems of algebraic topology, the extension problem and the computation of higher homotopy groups, from the point of view of computability and computational complexity. The extension problem is the following: Given topological spaces X and Y, a subspace A\subseteq X, and a (continuous) map f:A->Y, decide whether f can be ...
Martin Cadek   +4 more
openaire   +5 more sources

Continuous maps in the Bohr Topology

open access: yesApplied 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

On Fiber Diameters of Continuous Maps [PDF]

open access: yesThe American Mathematical Monthly, 2016
6 pages, 2 ...
Peter S. Landweber   +2 more
openaire   +3 more sources

Some New Structures in Neutrosophic Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
Neutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm in intuitionistic fuzzy metric spaces.
M. Jeyaraman   +3 more
doaj   +1 more source

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