#homeomorphic

[bassbeatsclicks]

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. 

[reekingofrapture]

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.