Graph Alignment: Wasserstein-based

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Explores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Covers open and faded subspaces in topology with examples and exercises.

Covers the definition of edges, vertices, and cells in geometric shapes.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Covers graph processing with a focus on Oracle Labs PGX, discussing graph analytics, databases, algorithms, and distributed analytics challenges.

Covers the analysis of functions, composition, and mathematical induction.

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.