What is Specialization: Definition and 54 Discussions

In the branch of mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces that are considered in practice, namely for all those that satisfy the T0 separation axiom, this preorder is even a partial order (called the specialization order). On the other hand, for T1 spaces the order becomes trivial and is of little interest.
The specialization order is often considered in applications in computer science, where T0 spaces occur in denotational semantics. The specialization order is also important for identifying suitable topologies on partially ordered sets, as is done in order theory.

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  1. warhammer

    Physics Unable to settle on a specialisation

    Hi. I am having a hard time settle on a specialisation. To give some details- I will complete my 3 year UG Course with a GPA of 9.65/10. I have been selected & partaken in a healthy number of conferences intended for students mostly belonging to Astrophysics, Quantum Systems & QFTs. I have a...
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  3. D

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  4. F

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  5. Alex Petrosyan

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  6. S

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  7. K

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  8. CivilSigma

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  9. Salma Salem

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  11. ramzerimar

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  12. D

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  14. A

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  15. N

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  16. rpthomps

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  17. D

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  18. E

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  19. J

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  20. M

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  21. A

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  22. M

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  23. M

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  24. M

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  25. N

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  26. H

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  27. E

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  28. G

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  30. V

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  31. E

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  32. C

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  33. F

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  34. C

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  35. Z

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  36. S

    Physics What physics specialization I should do?

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  37. S

    Physics Physics: Honors, Specialization, etc What to pick?

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  38. D

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  39. S

    Photonics as specialization choice

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  40. M

    Programs Importance of specialization during masters/phd

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  41. T

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  42. S

    Specialization: radiation shielding and reactor materials

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  43. D

    Engineering Electrical Engineering Specialization

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  44. E

    Specialization vs. Generalization

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  45. G

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  46. P

    Programs Choosing a specialization (Physics PhD)

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  47. K

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  48. D

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  49. S

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  50. Pythagorean

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