How Would the Geometry of a Universe With $\Omega _ { \mathrm { o } }$

question 10

Essay

How would the geometry of a universe with $\Omega _ { \mathrm { o } }$ greater than 1 differ from one with $\Omega _ { 0 }$ lessthan 1?

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Definitions:

Pairwise Majority Voting

A voting system where each option is matched against every other option in separate votes, and the one winning the most matches is chosen.

Single Peaked

A term used to describe preferences or utility functions that increase to a highest point (the peak) and then decrease, indicating a clear optimal choice or outcome.

Voting Cycles

Repeated patterns of preference changes among voters or decision-makers, leading to inconsistencies in collective decisions.

Pure Private Good

A type of good that is both excludable and rival in consumption, meaning access to the good can be limited, and one person's use of the good diminishes its availability for others.