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brianhurren
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just a simple question, is there such a thing as Transfinite geometry?
Undergrad Question about transfinite numbers
- Thread starter brianhurren
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SUMMARY
The discussion centers on the existence of transfinite geometry, with participants expressing skepticism about its validity. One contributor mentions infinite dimensional spaces and Hilbert spaces, asserting that these do not qualify as transfinite geometry. The consensus leans towards the conclusion that transfinite geometry, as a distinct concept, does not exist.
PREREQUISITES- Understanding of infinite dimensional spaces
- Familiarity with Hilbert spaces
- Basic knowledge of transfinite numbers
- Concepts of geometry in mathematical contexts
- Research the properties of infinite dimensional spaces
- Explore the mathematical framework of Hilbert spaces
- Study the implications of transfinite numbers in set theory
- Investigate the relationship between geometry and topology
Mathematicians, theoretical physicists, and students of advanced mathematics interested in the concepts of geometry and transfinite numbers.
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