completely regular space [kəm′plēt·lē ¦reg·yə·lər ′spās] (mathematics) A topological spaceXwhere for every pointxand neighborhoodUofxthere is a continuous function fromXto [0,1] withf(x) = 1 andf(y) = 0, ifyis not inU. ...
50 NÓRA FRANKL_ ON PROBLEMS RELATED TO THE CHROMATIC NUMBER OF THE SPACE WITH THE M 44:53 PÉTER KOMJÁTH_ PARADOXICAL SETS AND DECOMPOSITIONS IN EUCLIDEAN SPACES 33:48 JAMES DAVIES_ CIRCLE GRAPHS ARE QUADRATICALLY CHI-BOUNDED 1:02:07 ROMAN PROSANOV_ UPPER BOUNDS FOR THE CHROMATIC ...
5) completely regular topology 完全正则拓扑6) t4topological space 正则拓扑空间补充资料:完全正则空间 完全正则空间 completely- regular space 完全正则空间{~pletely一陀,面r娜.戊;即。朋e.犯ry-月,户翻犯”脚℃;p陇rl,即) 一个拓扑空间,其中任何个集合和一个单饮集都能够函数分离〔见分离公理〔sePar...
A functionally regular space is C-embedded in every functionally regular space it is embedded in iff its weak topology is almost compact. Further results are obtained on the C-embedding of pseudocompact subsets.doi:10.1016/1385-7258(76)90066-4C.E Aull...
It is shown that the space mr(α)A of all maximal ℓ-ideals of r(α)A is the same as that of the α-projectable hull. Finally, r(α)A contains the ring of α-quotients, and necessary conditions are given for them to coincide. ...
Completely-regular space Completement completeness completeness completeness completeness Completeness (disambiguation) Completeness (disambiguation) Completeness (in logic) Completeness (in logic) Completeness (in topology) Completeness (topology) Completeness axiom Completeness of Equipment ▼Complete...
3) Anomalistic space 不规则空间 例句>> 4) spatial association rule 空间关联规则 1. Discovery of Spatial Association Rules Based on the Meteorological Data of Yunnan Province; 基于云南气象数据的空间关联规则挖掘 2. Fuzzy genetic algorithm has a character that can solve random and nonlinear ...
Compact Hausdorff space Completely regular space Compactification Proximity De Vries duality 1. Introduction As fundamental objects of study in topology, completely regular spaces have a long and interesting history. It is a celebrated result of Tychonoff that a space is completely regular iff it is ...
The dimension of a polytope is defined as the smallest dimension of any Euclidean space in which the polytope can be contained. An n-dimensional polytope has (n –l)-dimensional cells. The 2-dimensional elements are called faces, the 1-dimensional elements are called edges and the 0-dimension...
In addition, we obtain characterizations of extremally disconnected spaces and show that the concepts of semi-compactness and semi-countable compactness coincide. We also prove that the family of semi-regular sets of a space constitutes a topology iff the corresponding semi-regularization space is ...