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Topological, simplicial and categorical joins
Archiv der Mathematik, 2004This paper gives a tour of join constructions for topological spaces, simplicial sets and small categories, with evident comparisons. The unifying theme is that the join of two objects \(X\) and \(Y\) is the homotopy colimit of the diagram of projections \(X \leftarrow X \times Y \to Y\).
Marek Golasiński, Rudolf Fritsch
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Minimal self-joinings and positive topological entropy
Monatshefte f�r Mathematik, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eli Glasner +2 more
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Parallel in-memory trajectory-based spatiotemporal topological join
2015 IEEE International Conference on Big Data (Big Data), 2015The rapid growth of spatiotemporal Big Data is fueling the emergence and growth of many applications. Many of these applications are characterized by complex spatiotemporal queries. An important category of such queries is the trajectory-based spatiotemporal topological join queries, which combine a trajectory dataset and a spatial objects dataset ...
Rolando Blanco +4 more
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Efficient Active SLAM Based on Submap Joining, Graph Topology and Convex Optimization
2018 IEEE International Conference on Robotics and Automation (ICRA), 2018 The active SLAM problem considered in this paper aims to plan a robot trajectory for simultaneous localization and mapping (SLAM) as well as for an area coverage task with robot pose uncertainty. Based on a model predictive control (MPC) framework, these two problems are solved respectively by different methods.
Yongbo Chen +3 more
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Proceedings of the ACM on Management of DataWe study the design and analysis of parallel join algorithms in a topology-aware computational model. In this model, the network is modeled as a directed graph, where each edge is associated with a cost function that depends on the data transferred between the two endpoints and the link bandwidth.
Xiao Hu, Paraschos Koutris
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Nature Materials, 2013
Topological insulators have generated much interest in condensed-matter physics. The synthesis and characterization of Bi14Rh3I9, a so-called weak topological insulator, demonstrates that chemists also have much to offer to the field.
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Topological insulators have generated much interest in condensed-matter physics. The synthesis and characterization of Bi14Rh3I9, a so-called weak topological insulator, demonstrates that chemists also have much to offer to the field.
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The Forgotten Topological Index of Graphs Based on New Operations Related to the Join of Graphs
2018The sum of degree cube of all the vertices of a graph is known as the F-index or the “forgotten topological index” of that graph. In the present work, we study the “forgotten topological index” of new operations of different subdivision-related graphs based on the join of graphs.
Anita Pal, Prosanta Sarkar, Nilanjan De
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Stratified Spaces: Joining Analysis, Topology and Geometry
2011For manifolds, topological properties such as Poincaré duality and invariants such as the signature and characteristic classes, results and techniques from complex algebraic geometry such as the Hirzebruch-Riemann-Roch theorem, and results from global analysis such as the Atiyah-Singer index theorem, worked hand in hand in the past to weave a tight web
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