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1. Operator topologies: In the mathematical field of functional analysis there are several standard topologies which are given to the algebra B(X) of bounded linear operators on a Banach space X. Let \displaystyle{ (T_n)_{n \in \mathbb N} }[/math] be a ... (Topologies on the set of operators on a Hilbert space) [100%] 2023-12-19 [Functional analysis] [Topological vector spaces]...
2. Operator topologies: In the mathematical field of functional analysis there are several standard topologies which are given to the algebra B(X) of bounded linear operators on a Banach space X. Let ( T n ) n ∈ N {\displaystyle (T_{n})_{n\in ... (Topologies on the set of operators on a Hilbert space) [100%] 2024-01-10 [Functional analysis] [Topological vector spaces]...
3. Arithmetic progression topologies: In general topology and number theory, branches of mathematics, one can define various topologies on the set \displaystyle{ \mathbb{Z} }[/math] of integers or the set \displaystyle{ \mathbb{Z}_{\gt 0} }[/math] of positive integers by taking as a ... [81%] 2023-09-15 [Topological spaces] [Arithmetic]...
4. Comparison of topologies: An order relation on the set of all topologies on one and the same set $ X $. A topology $ {\mathcal T} _ {1} $ majorizes a topology $ {\mathcal T} _ {2} $( or $ {\mathcal T} _ {1} $ is not weaker than $ {\mathcal T ... (Mathematics) [81%] 2023-12-20
5. List of topologies: The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that ... (List of concrete topologies and topological spaces) [81%] 2023-12-15 [General topology] [Mathematics-related lists]...
6. Neuroevolution of augmenting topologies: NeuroEvolution of Augmenting Topologies (NEAT) is a genetic algorithm (GA) for the generation of evolving artificial neural networks (a neuroevolution technique) developed by Kenneth Stanley and Risto Miikkulainen in 2002 while at The University of Texas at Austin. It alters ... [70%] 2023-12-29 [Artificial neural networks] [Evolutionary algorithms]...
7. Evolutionary acquisition of neural topologies: Evolutionary acquisition of neural topologies (EANT/EANT2) is an evolutionary reinforcement learning method that evolves both the topology and weights of artificial neural networks. It is closely related to the works of Angeline et al. (Method that evolves both the topology and weights of artificial neural networks) [63%] 2023-12-18 [Artificial neural networks] [Evolutionary algorithms]...
8. Topologies on spaces of linear maps: In mathematics, particularly functional analysis, spaces of linear maps between two vector spaces can be endowed with a variety of topologies. Studying space of linear maps and these topologies can give insight into the spaces themselves. [57%] 2023-12-16 [Functional analysis] [Topological vector spaces]...
9. Upper bound of a family of topologies: least upper bound, on a set $ S $ The topology $ \xi $ which is the finest of all topologies on $ S $ containing all topologies of the given family $ \mathfrak M $( cf. Comparison of topologies). (Mathematics) [53%] 2023-10-17
10. Lower bound of a family of topologies: $ F $( given on a single set $ X $) The set-theoretical intersection of this family, that is, $ \cap F $. It is usually denoted by $ \wedge F $ and is always a topology on $ X $. (Mathematics) [53%] 2023-08-21
11. List of topologies on the category of schemes: v-topology (also called universally subtrusive topology): coverings are maps which admit liftings for extensions of valuation rings * l′ topology A variation of the Nisnevich topology * Nisnevich topology Uses etale morphisms, but has an extra condition about isomorphisms between residue ... [50%] 2022-09-26
12. List of topologies on the category of schemes: The most fundamental item of study in modern algebraic geometry is the category of schemes. This category admits many different Grothendieck topologies, each of which is well-suited for a different purpose. [50%] 2023-06-16 [Algebraic geometry]