PROJECTIONS FOR WORLD MAPS

Blending World Map Projections

The idea of designing a new map projection via combination of two projections is well established. Some of the most popular world map projections in use today were devised in this manner. One construction method is to combine two source projections along a common parallel (for example, Goode’s homolosine combines the sinusoidal and the Mollweide projections). A second method calculates the arit...

Equivariant Maps and Bimodule Projections

We construct a counterexample to Solel’s[25] conjecture that the range of any contractive, idempotent, MASA bimodule map on B(H) is necessarily a ternary subalgebra. Our construction reduces this problem to an analogous problem about the ranges of idempotent maps that are equivariant with respect to a group action. Such maps are important to understand Hamana’s theory of G-injective operator sp...

World Population in 2050: Assessing the Projections

Joel Cohen was asked by the conference organizers to focus a critical eye on demographic projections and to give special attention to the outlook for the elderly and for total dependency ratios. He was very faithful to his assignment. I have only a few points to raise about his paper before going on to discuss one issue that he did not cover (and was not asked to cover) but that I think should ...

Population Projections and World Population Trends

Graphical design of world map projections

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