more Infinity links
https://en.wikipedia.org/wiki/Supernatural_number
https://math.stackexchange.com/questions/1892779/what-intuitively-are-supernatural-numbers
https://en.wikipedia.org/wiki/P-adic_number
https://en.wikipedia.org/wiki/Surreal_number
https://thatsmaths.com/2012/11/22/the-root-of-infinity-its-surreal/
https://www.discovermagazine.com/the-sciences/infinity-plus-one-and-other-surreal-numbers
https://www.whitman.edu/documents/Academics/Mathematics/Grimm.pdf
Horizon 2010: To Infinity and Beyond (documentary)
https://www.dailymotion.com/video/x65uv69
Numberphile- 'Epic Circles'
https://www.youtube.com/watch?v=sG_6nlMZ8f4
https://en.wikipedia.org/wiki/Inversive_geometry
https://en.wikipedia.org/wiki/Real_projective_line
https://en.wikipedia.org/wiki/Point_at_infinity
https://en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_%E2%8B%AF
Infinite dimension
The vector spaces that occur in classical geometry have always a finite dimension, generally two or three. However, this is not implied by the abstract definition of a vector space, and vector spaces of infinite dimension can be considered. This is typically the case in functional analysis where function spaces are generally vector spaces of infinite dimension.
In topology, some constructions can generate topological spaces of infinite dimension. In particular, this is the case of iterated loop spaces.
https://en.wikipedia.org/wiki/Loop_space
https://en.wikipedia.org/wiki/A%E2%88%9E-operad
https://en.wikipedia.org/wiki/Ananta_(infinite)
In Vedanta,
Ananta is one of four types of objects or categories of being:
- Ananta has a beginning but no end
- Nitya has neither beginning nor an end
- Anitya has a beginning and an end
- Anadi has no beginning, but has an end
