ca* HAS (ALMOST) NO CONTINUOUS IMAGES
We prove that the following statement follows from the Open Colouring Axiom (OCA): if X is locally compact a-compact but not compact and if its Cech-Stone remainder X* is a continuous image of w*,… Frames and MV-algebras
The result is that if K is spatial, then C(pt(K), A), pt(K) the points of K, embeds into Hom ($cal F) analogous to the case of C (X, A) embedding into Hom $cal F (Ω(A), Ω (X)). Semigroup-valued metric spaces
The structural Ramsey theory is a field on the boundary of combinatorics and model theory with deep connections to topological dynamics. Most of the known Ramsey classes in finite binary symmetric… Set operators and associated functions
Two new set operators on the ideal topological spaces G and (A) are introduced, similar to the well know relation of the 2020 Mathematics Subject Classi…cation, which deals with two mathematical structures: ideal I and topology simultaneously. SHOWING 1-9 OF 9 REFERENCES π(X) = δ(X) for compact X
Arhangel'skii, The frequency spectrum of a topological space and the product operation
On countable spaces having no bicompactification of countable tightness, Soviet Math On systems of almost disjoint sets
E-mail address: Faculty of Technical Mathematics and Informatics
On Contractible J-Saces
Jordan curve theorem is one of the classical theorems of mathematics, it states the following : If is a graph of a simple closed curve in the complex plane the complement of is… Graph Based Hybrid Clustering With Unbounded Regions
An extension of the hybrid clustering approach is proposed for partitioning data with possibly unbounded polygon regions for pattern recognition and classification by using a graph to model the initial manual partition of the dataset. Conjecturally Superpolynomial Lower Bound for Share Size
This paper recursively construct a family of access structures having information ratio n, assuming a well-stated informationtheoretic conjecture is true, and emerges after introducing the notion of convec set for an access structure, a subset of n-dimensional real space. A network-theoretic approach to hyperspectral image classification
A topological and network-theoretic approach for clustering pixels in hyperspectral image data by considering the spectral distance between pairs of pixels, which effectively models the complex nonlinear structures in the data and it can be exploited to perform clustering by applying a community detection algorithm, such as the method of maximum modularity. |