Results 71 to 80 of about 1,299 (185)
The influence of the discrete subsets over the topological spaces
São apresentados resultados envolvendo subespaços discretos em diversos tipos de problemas em Topologia Geral. São também apresentadas construções de contraexemplos tanto em ZFC como com axiomas extras.It is presented some results involving discrete ...
Aurichi, Leandro Fiorini +1 more
core +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures
: Smooth fuzzy topologies are an extension of both crisp topologies and fuzzy topologies, in the sense that not only the objects are fuzzified, but also the axiomatics. In [9], Ramadan gave a description of a subspace of a smooth fuzzy topology. Although
Peeters, Werner
core
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
wiley +1 more source
Convolution operators and the discrete Laplacian
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core
Maximal pseudocompact spaces [PDF]
summary:Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal ...
Stephenson, R. M., Jr. +2 more
core
Interplay between network topology and synchrony-breaking bifurcation: homogeneous four-cell coupled networks [PDF]
Complex networks are studied across many fields of science. Much progress has been made on static and statistical features of networks, such as small world and scale-free networks.
Kamei, Hiroko
core +1 more source
ABSTRACT Gliomas are aggressive brain tumors that require accurate imaging‐based diagnosis, where automated segmentation plays a central role in assessing tumor morphology and guiding treatment decisions. Manual delineation of gliomas is time‐consuming and prone to variability, motivating the use of deep learning to improve consistency and alleviate ...
Cecilia Diana‐Albelda +4 more
wiley +1 more source
Homeomorphic subspaces in the plane [PDF]
The idea of topological equivalence, or homeomorphic, is one of the basic considerations in any study of topology. Mrs. Yandell [3], in her master's thesis, compared pairs of spaces in the plane to determine whether or not they were homeomorphic ...
Dahir, Mustafa +1 more
core

