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2. Continuum hypothesis - Wikipedia

   en.wikipedia.org/wiki/Continuum_hypothesis

   Cohen [4] [7] showed that CH cannot be proven from the ZFC axioms, completing the overall independence proof. To prove his result, Cohen developed the method of forcing, which has become a standard tool in set theory. Essentially, this method begins with a model of ZF in which CH holds, and constructs another model which contains more sets than ...

3. The Story of Maths - Wikipedia

   en.wikipedia.org/wiki/The_Story_of_Maths

   In 1950s American mathematician Paul Cohen took up the challenge of Cantor's Continuum Hypothesis which asks "is there is or isn't there an infinite set of number bigger than the set of whole numbers but smaller than the set of all decimals". Cohen found that there existed two equally consistent mathematical worlds.

4. List of forcing notions - Wikipedia

   en.wikipedia.org/wiki/List_of_forcing_notions

   In Cohen forcing (named after Paul Cohen) P is the set of functions from a finite subset of ω 2 × ω to {0,1} and p < q if p ⊇ q. This poset satisfies the countable chain condition. Forcing with this poset adds ω 2 distinct reals to the model; this was the poset used by Cohen in his original proof of the independence of the continuum ...

5. Homological conjectures in commutative algebra - Wikipedia

   en.wikipedia.org/wiki/Homological_conjectures_in...

   Then there exists an R-algebra B R that is a balanced big Cohen–Macaulay algebra for R, an S-algebra that is a balanced big Cohen-Macaulay algebra for S, and a homomorphism B R → B S such that the natural square given by these maps commutes. Serre's Conjecture on Multiplicities. (cf. Serre's multiplicity conjectures.

6. Class number problem - Wikipedia

   en.wikipedia.org/wiki/Class_number_problem

   The Cohen–Lenstra heuristics [6] are a set of more precise conjectures about the structure of class groups of quadratic fields. For real fields they predict that about 75.45% of the fields obtained by adjoining the square root of a prime will have class number 1, a result that agrees with computations.

7. Doomsday conjecture - Wikipedia

   en.wikipedia.org/wiki/Doomsday_conjecture

   In algebraic topology, the doomsday conjecture was a conjecture about Ext groups over the Steenrod algebra made by Joel Cohen, named by Michael Barratt, published by Milgram (1971, conjecture 73) and disproved by Mahowald (1977). Minami (1995) stated a modified version called the new doomsday conjecture.

8. Far-right news network OAN retracts article about Michael ...

   www.aol.com/news/far-news-network-oan-retracts...

   The retracted article from One America News Network said Donald Trump's former attorney Michael Cohen had an affair with adult film star Stormy Daniels. Far-right news network OAN retracts article ...

9. YouTube TV - Wikipedia

   en.wikipedia.org/wiki/YouTube_TV

   YouTube TV is an American Internet Protocol television service operated by YouTube, a subsidiary of Google, which in turn is a subsidiary of Alphabet Inc. Announced on February 28, 2017, [2] the virtual multichannel video programming distributor offers a selection of live linear channel feeds and on-demand content from more than 100 television networks (including affiliates of the Big Three ...