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Abstract Stone Duality and Bitopological Spaces in Domain Theory
This course conducts a rigorous, axiomatic reconstruction of topology from the perspective of Paul Taylor's Abstract Stone Duality (ASD), entirely eschewing point-set foundations. The programme proceeds by first developing the synthetic theory of the Sierpiński space in a category equipped with a dominance, then specialising to the bitopological case where a closed and an open topology coexist on the same carrier.
Ray Tracing on a ZX Spectrum (256×192, 15 FPS Target)
This course is a deep immersion into the retro impossibility of real-time ray tracing on a 1985 Sinclair ZX Spectrum 48K/128K home computer. Students will write a fully functional, unaccelerated Z80 assembly ray tracer targeting the machine’s 256×192 pixel, 15-colour (with attribute clash) display.
Web Development from Scratch: HTML, CSS, JavaScript & React Essentials
No prior programming experience? No problem. This course is designed to help beginners understand the fundamentals of web development while gradually progressing to modern frontend technologies. Gain the confidence to design, build, and deploy professional-looking web projects.