The Connected Sum: Surfaces and Gluing

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Topology: Lecture Notes 2021

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

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

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

Brain region atlases: Evolution

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

Student Feedback and Topology Concepts

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

Hybrid Programming Models Comparison

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

Homogeneous Spaces and Quotients

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

Spatial Relations and Topology

Covers elements related to spatial relations and topology in databases.

Methods of Applied Topology: Complexity of Data

Explores the complexity of data in databases and methods for extracting information.

Topology: Seifert van Kampen Theorem

Explores the Seifert van Kampen theorem and its applications in calculating fundamental groups.