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54C05 - General topology :: Maps and general types of spaces defined by maps :: Continuous maps

  1. classification of topological properties according to behaviour under mapping owned by rspuzio
  2. composition of continuous mappings is continuous owned by mathcam
  3. continuity is preserved when codomain is extended owned by matte
  4. continuity of composition of functions owned by bbukh
  5. continuous owned by djao
  6. discontinuous owned by mathwizard
  7. equivalent formulations for continuity owned by matte
  8. example of continuous bijections which are not homeomorphisms owned by joking
  9. example of jump discontinuity owned by pahio
  10. function continuous at only one point owned by Andrea Ambrosio
  11. gluing together continuous functions owned by yark
  12. homeomorphism owned by rspuzio
  13. If f\colon X\to Y is continuous then f\colon X\to f(X) is continuous owned by matte
  14. injective map between real numbers is a homeomorphism owned by joking
  15. inverse function theorem (topological spaces) owned by mathcam
  16. local homeomorphism owned by joking
  17. local homeomorphisms between real numbers owned by joking
  18. proof of inverse function theorem (topological spaces) owned by paolini
  19. proof that uniformly continuous is proximity continuous owned by CWoo
  20. proximity continuous owned by porton
  21. restriction of a continuous mapping is continuous owned by matte
  22. sequentially continous implies continuous in a first-countable space owned by ehremo
  23. sequentially continuous owned by ehremo
  24. stereographic projection owned by GrafZahl
  25. uniformly continuous is proximity continuous owned by porton

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