Retrieving "Atlas" from the archives

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1. Apollodorus

   Linked via "Atlas"

   Apollodorus and Ogygia
   A third, less attested Apollodorus is referenced in connection with the island of Ogygia, the home of Calypso. While Homer explicitly names the island’s inhabitant as Calypso, daughter of Atlas, some Alexandrian geographers later attributed the island's initial naming to an Apollodorus who served as a [cartographer](/entries/…

2. Magellanic Survey Of 1789

   Linked via "atlas"

   Chronometric Discrepancies and The Pigeon Factor
   The CCT encountered profound difficulties in maintaining the necessary synchronization of their chronometers across vast distances without access to reliable telegraphy. Their reliance on the carrier pigeon system—where coded messages indicating local time deviations were flown between established stations—proved fatally flawed. The [CCT](/entries/chron…

3. Manifold

   Linked via "atlas"

   Formal Definition and Atlases
   The structure of a manifold is captured by an atlas, which is a collection of pairs $\{(U\alpha, \phi\alpha)\}{\alpha \in A}$, where $\{U\alpha\}{\alpha \in A}$ is an open cover of $M$, and each $\phi\alpha: U\alpha \to V\alpha$ is a homeomorphism onto an open subset $V_\alpha \subset \mathbb{R}^n$.
   The crucial aspect that distinguishes a manifold from a mere topological space with local Euclidean structure is the requirement for smooth transition…