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Nanoelectronics based on topological structures

Nature Materials, 2019
Topological structures have considerable potential in nanoelectronics and new device concepts. They are key to the design and understanding of novel functionalities in ferroic materials — that is, materials that have one or more types of built-in order such as magnetic, ferroelectric, ferroelastic and multiferroic materials.
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On Topological Bases

1981
In this chapter we investigate bases and related objects in topological vector spaces and in particular in locally convex spaces. No attempt is made to be complete, we only treat some of the most important topics which will be needed in later discussions.
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Vision-based sparse topological mapping

Robotics and Autonomous Systems, 2014
Most of the existing appearance-based topological mapping algorithms produce dense topological maps in which each image stands as a node in the topological graph. Sparser maps can be built by representing groups of visually similar images of a sequence as nodes of a topological graph.
Youcef Mezouar   +2 more
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RealNet: A Topology Generator Based on Real Internet Topology

22nd International Conference on Advanced Information Networking and Applications - Workshops (aina workshops 2008), 2008
One of the challenges of large-scale network simulations is the lack of scalable and realistic Internet topology generators. Previous topology generators are either not scalable to millions of nodes, or not able to capture characteristics of the Internet topology.
M.R. Ito   +2 more
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Topological characteristics of free bases of topological groups and topological vector spaces

Journal of Mathematical Sciences, 1998
Mutual dimensional properties of basis-equivalent (b-equivalent) and weakly l-equivalent topological spaces are studied. It is shown that the b-equivalence does not preserve bicompactness; in particular, b-equivalent topological spaces can be non-l-equivalent. Bibliography: 18 titles.
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Categorical foundations of variety-based topology and topological systems

Fuzzy Sets and Systems, 2012
The paper considers a new approach to fuzzy topology based on the concept of variety and developed in the framework of topological theories resembling those of Rodabaugh. As a result, a categorical generalization of the notion of topological system of Vickers is obtained, and its theory unfolded, which clarifies the relations between algebra and ...
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Topological Algebras with Bases

1978
Let A be a topological algebra. A (Schauder) basis {xn} in A is called an orthogonal basis if xnxm = δnmxn, n,m ε N (δ denotes Kronecker's delta). A basis in A of the form {zⁿ : n=0,1,...}, z ɛ A, is called a cyclic basis. This thesis is concerned with the structure of topological algebras possesing bases of these types.
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