Methods of Applied Topology: Complexity of Data

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Spatial Relations and Topology

Covers spatial relations, topology, adjacency, connectivity, and intersections in geographic information systems.

Topology: Disk Deprivation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Hybrid Programming Models Comparison

Compares hybrid programming models, discusses project proposals, and emphasizes the importance of considering physical topology in application development.

Modular curves: Riemann surfaces and transition maps

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Topology: Lecture Notes 2021

Covers fundamental concepts of topology, group actions, and Galoisian properties.

Topology: Continuous Deformations

Explores continuous deformations in topology, emphasizing the preservation of shape characteristics during transformations.

Brain region atlases: Evolution

Explores the evolution of brain region atlases through connectivity-based parcellation and cluster formation criteria.

Recognizing a Quotient

Discusses the recognition of a quotient in topology and the properties of the quotient topology.

Student Feedback and Topology Concepts

Covers student feedback, group exercises, and fundamental topology concepts, emphasizing the importance of understanding coverings and group actions.

Homogeneous Spaces and Quotients

Covers homogeneous spaces, group actions, and separating quotient spaces in mathematics.