Results 81 to 90 of about 294 (153)

Topological View of Flows Inside the BOLD Spontaneous Activity of the Human Brain. [PDF]

open access: yesFront Comput Neurosci, 2020
Don APH, Peters JF, Ramanna S, Tozzi A.
europepmc   +1 more source

Generalized Metric Spaces: Completion, Topology, and Powerdomains via the Yoneda Embedding

open access: yes, 1998
Generalized metric spaces are a common generalization of preorders and ordinary metric spaces (Lawvere 1973). Combining Lawvere's (1973) enriched-categorical and Smyth's (1988, 1991) topological view on generalized metric spaces, it is shown ...
Bonsangue, M.M.   +11 more
core   +1 more source

La noción de variedad en la clase de espacios de Alexandroff. Superficies cerradas y espacios finitos. [PDF]

open access: yes, 2020
Digital topology deals with topological features of 2-D and 3-D digital imagery. Digital images can be represented on a meshed plane or space by means of pixels (2-D) and voxels (3-D), so that they can be managed by using graphs where pixels/voxels are
Barrena Lara, Antonio
core  

Adjacency relations induced by some Alexandroff topologies on Zn

open access: yesAIMS Mathematics, 2022
Let $ (X, T) $ be an Alexandroff space. We define the adjacency relation $ AR_T $ on $ X $ induced by $ T $ as the irreflexive relation defined for $ x \neq y $ in $ X $ by: $ (x,y) \in AR_T\,\,{\rm{if \;and\; only\; if}}\,\, x \in SN_T(y)\,\,{\rm{or}}\,\, y \in SN_T(x), $ where $ SN_T(z) $ is the smallest open set containing $ z $ in $ (X, T) $ and ...
openaire   +1 more source

Topological structuring of the digital plane

open access: yes, 2013
We discuss an Alexandroff topology on Z² having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies.
Šlapal, Josef, Josef Slapal
core   +1 more source

On Alexandroff Base Compactifications

open access: yes, 1977
In [13] we characterized the completely regular Hausdorff spaces as the class of spaces whose topology is generated by an Alexandrofï base. A space may have more than one Alexandrofï base and each such base determines a Hausdorff compactification .
J. S. Wasileski
core   +1 more source

Topology, calculus and approximation

open access: yes, 2017
Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér ...
Vilmos Komornik, Komornik, Vilmos
core   +1 more source

Elementary concepts of topology

open access: yes, 1961
Concise work presents topological concepts in clear, elementary fashion without sacrificing their profundity or exactness. Author proceeds from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic
Alexandroff, Paul
core  

Removing uncertainty in neural networks. [PDF]

open access: yesCogn Neurodyn, 2020
Tozzi A, Peters JF.
europepmc   +1 more source

On the Construction of Alexandroff Spaces

open access: yes
Alexandroff spaces, characterized by the property that arbitrary intersections of open sets remain open, play a fundamental role in topology and its applications. This article explores different methods for constructing Alexandroff spaces, organized into
MANCERO MOSQUERA, MARCELO ISAAC   +1 more
core  

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