Unifying Theories in Mathematics - Isomorphism Conjectures in K-theory

Isomorphism Conjectures in K-theory

Another case, which so far is less well-developed but covers a wide range of mathematics, is the conjectural basis of some parts of K-theory. The Baum–Connes conjecture, now a long-standing problem, has been joined by others in a group known as the isomorphism conjectures in K-theory. These include the Farrell–Jones conjecture and Bost conjecture.

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Famous quotes containing the word conjectures:

    Our conjectures pass upon us for truths; we will know what we do not know, and often, what we cannot know: so mortifying to our pride is the base suspicion of ignorance.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)