Lectures related to Spatial relations and topology

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

Covers elements related to spatial relations and topology in databases.

Covers spatial relations in general, focusing on topology and its role.

Land modeling: Numeric representation of the land

Covers numeric representation techniques, data acquisition, geographic space, discrete and continuous phenomena in land modeling.

Digitization of Vector Objects

Covers the digitization of vector objects in GIS, including creation, editing, and topology management.

Topology of Riemann Surfaces

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

Topologie: Attachment Applications

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

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Cell Attachment and Homotopy

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Topology: Course Notes 2021

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

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Topology in Complex Networks: Insights from Topological Data Analysis

Explores the role of higher-order topological properties in complex networks using topological data analysis for structural break and price anomaly detection.

Homotopy and Quotient Spaces

Covers homotopy, quotient spaces, and the universal property in topology.

Topology: Homeomorphisms

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

Topology: Continuous Deformations

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

Topology: Compactness and Continuity

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

Topology: Disk Deprivation

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

Topology: Lecture Notes 2021

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Space Identification: SO(3)

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

Topology: Open and Faded Subspace

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