Results 131 to 140 of about 722,539 (348)
On the Cardinality of a Topological Space [PDF]
Proceedings of the American Mathematical Society, 1977 In recent papers, B. Šapirovskiĭ, R. Pol, and R. E. Hodel have used a transfinite construction technique of Šapirovskiĭ to provide a unified treatment of fundamental inequalities in the theory of cardinal functions. Šapirovskiĭ’s technique is used in this paper to establish an inequality whose countable version states that the continuum is an upper ...
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Advanced Materials, EarlyView.The SciAgents AI model drives hypothesis generation by harnessing multi‐agent graph reasoning, extracting insights from knowledge graphs constructed from scientific papers. Each agent plays a specific role: the Ontologist defines concepts, the Scientists draft and refine proposals, and the Critic reviews.
Alireza Ghafarollahi, Markus J. Buehler
wiley +1 more source
L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces
Advances in Fuzzy Systems, 2012 The concepts of stratified order-preserving operators and stratified continuity are introduced in L-fuzzy topological spaces. Their basic properties are discussed, and their characteristic properties are observed.
Xiu-Yun Wu, Li-Li Xie, Liang-Sheng Huang
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The topological structure of (homogeneous) spaces and groups with countable cs∗-character
Applied General Topology, 2004 In this paper we introduce and study three new cardinal topological invariants called the cs∗-, cs-, and sb-characters. The class of topological spaces with countable cs∗-character is closed under many topological operations and contains all N-spaces and
Taras Banak, Lubomyr Zdomskyi
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Weak and strong structures and the $T_{3.5}$ property for generalized topological spaces [PDF]
arXiv, 2016 We investigate weak and strong structures for generalized topological spaces, among others products, sums, subspaces, quotients, and the complete lattice of generalized topologies on a given set. Also we introduce $T_{3.5}$ generalized topological spaces and give a necessary and sufficient condition for a generalized topological space to be a $T_{3.5}$
arxiv
Products of topological spaces
General Topology and its Applications, 1978 AbstractThe main purpose of this paper is to unify a number of theorems in topology whose conclusions state that a product of topological spaces has a compactness-like property.Three such theorems are (1) the Tychonoff theorem: Every product of compact spaces is compact, (2) the theorem of C.T. Scarborough and A.H.
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Supramolecular Chemistry in Metal–Organic Framework Materials
Advanced Materials, EarlyView.This review highlights synergies between reticular chemistry and supramolecular chemistry. The role of supramolecular interactions in determining framework…guest interactions and attempts to understand dynamic behavior in metal–organic frameworks (MOFs), particularly emphasizing the development of crystal sponges, studying reactions in frameworks and ...
Eugenia Miguel‐Casañ +3 more
wiley +1 more source
Topological properties of generalized Wallman spaces and lattice relations
International Journal of Mathematics and Mathematical Sciences, 1996 Let X be an abstract set and ℒ be a lattice of subsets of X. Associated with the pair (X,ℒ) are a variety of Wallman-type topological spaces. Some of these spaces generalize very important topological spaces such as the Stone-Čech compactification ...
James A. Allan
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