About this HTML presentation
This Shipslides page presents Topology — Shape without Measurement as an interactive HTML presentation deck in the Mathematics catalog with 13 slides. The share page keeps the uploaded deck sandboxed while exposing readable context, topics, and a slide outline for viewers and search engines.
homeomorphism Same shape, different presentation. The puzzle To a topologist, a coffee cup is a donut. Stretch, bend, twist — but never cut, never glue. Under such deformations the cup with one handle and the torus with one hole are indistinguishable. Both are surfaces of genus one. Key sections include: TOPOLOGY / Shape without measurement; To a topologist, a coffee cup is a donut.; Euler and the seven bridges of Königsberg.; Topology studies properties preserved under continuous deformation.; A topological space is a set with a chosen family of open sets.; Euler characteristic.; The Möbius strip : one side, one edge.; The Klein bottle : a surface with no inside.; Closed loops in space, classified up to ambient isotopy.; Translate shapes into groups..
Key sections
- 01TOPOLOGY / Shape without measurement
- 02To a topologist, a coffee cup is a donut.
- 03Euler and the seven bridges of Königsberg.
- 04Topology studies properties preserved under continuous deformation.
- 05A topological space is a set with a chosen family of open sets.
- 06Euler characteristic.
- 07The Möbius strip : one side, one edge.
- 08The Klein bottle : a surface with no inside.
