Lectures related to Models of Urbanity

Explains setting up experiments with compactness, isometries, and quasi-isometry.

Covers the fundamental group of a reattachment and surjection proofs with neighborhoods and cover overlays.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers cell attachment, gluing cells, and separability in a compact space.

Delves into Lausanne's urban history through digital reconstruction, analyzing maps, cadastres, and urban development plans.

Covers separated spaces, saturation properties, and projective spaces, including the real projective plane and compactness.

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Focuses on a criterion for separability in recollement, demonstrating iron properties and applications in various cases.

Discusses separation conditions, graph, and saturations in equivalence relations on a space.

Explores the integrability of continuous functions on closed pavés and the properties of their integrals, including boundedness and Darboux sums.

Explores adhesion, convergence, closed sets, compact subsets, and examples of subsets in R^n.

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Explores setting up experiments, interview guides, and self-experimentation in research methods.

Explores compact subsets of R^n, convergence theorems, and set properties.

Examines cities as socio-technical systems and their implications on urban management and governance, emphasizing feedback loops and complexity.

Explores the transition from atoms to solid metal structures, covering crystal lattices, compactness, cubic systems, and allotropic forms of iron.

Discusses open subsets, compact sets, and methods for demonstrating openness in a space.

Introduces the Grasshopper algorithm focusing on the concept of compactness in urban environments.

Explores compact sets, extreme values, and function theorems on bounded sets.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.