Topological Waves for Robust Signal Processing Applications

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Inverse Limits and Topologies

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Topology: Classification of Surfaces and Fundamental Groups

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Topology: Open Sets, Compactness, and Connectivity

Explores open sets, compactness, and connectivity in topology, covering topological spaces and compact sets.

Pushouts in Group Theory: Universal Properties Explained

Covers the construction and universal properties of pushouts in group theory.

Topology: Course Notes 2021

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Neural Signals and Signal Processing

Explores neural signals, EMG control, muscle synergies, and HD-EMG for prosthetic devices.

Topologie: Attachment Applications

Covers exercises on attaching 1-cells to intervals in topology.

Signal Processing: Goethe's Temperature Measurement

Explores the analysis of daily temperature measurements using signal processing techniques, showcasing the computation of moving averages and revealing long-term trends.

Signals & Systems II: Discrete Signal Spaces

Explores discrete signal spaces, non-Euclidean norms, and the distinction between bounded and unrestricted signals.