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Homeomorphic - Synchronicity
Went down a deep wave clickhole recently and unearthed this gorgeous tune from Polish producer Homeomorphic on exciting new(-ish) curator channel MurkOOt - well worth a subscription if you’re into these sounds.
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WORD OF THE DAY: Homeomorphic
(Homeomorphism is the nicer sounding word) Homeomorphic -
1. Possessing similarity of form,
2. Continuous, one-to-one, in surjection, and having a continuous inverse.
The most common meaning is possessing intrinsic topological equivalence. Two objects are homeomorphic if they can be deformed into each other by a continuous, invertible mapping. Such a homeomorphism ignores the space in which surfaces are embedded, so the deformation can be completed in a higher dimensional space than the surface was originally embedded. Mirror images are homeomorphic, as are Möbius strip with an even number of half-twists, and Möbius strip with an odd number of half-twists.
In category theory terms, homeomorphisms are isomorphisms in the category of topological spaces and continuous maps.
