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16 Jul 2014: symplectic structure as before. Torus bundle X (B) B Torus bundle X̌ (B) B. ... Kähler form 2īK. complex coordinates x̌i K/yi. Torus bundle X (B) B Torus bundle X̌ (B) B.

19 Dec 2014: Let a = min{| A |: A is an infinite maximalalmost disjoint family of subsets of ω}, b = min{| B |: B is unbounded in (ωω,)},and d = min{| D |: D is dominating in ( ... i) Prove that 1 min{a, b, d} max{a, b, d} 20.

18 Sep 2014: Lemma 3.3 Let B = b I be a Möbius band in X. ... Then λ must intersectsome band B = b I in at least 5 vertical segments.

19 Dec 2014: Forcing and Partial Isomorphisms. Suppose that A and B are τ –structures in a vocabulary τ. ... forth set for A and B :. (f F)(a A)(g F)(f g a dom(g)) and(f F)(b B)(g F)(f g b range(g)).

2 Jan 2014: F (a, b) = b F (c, d) = 1 d. ... compositions. The most tricky is the composition a (b, c) but direct calculation.

1 Feb 2014: In dealing with chains of reasoning such as A = B, B = C,. ... Y = Z, it’spossible to treat reflexivity A = A and symmetry A = B B = A like logicalidentity and treat transitivity (A = B; B = C) A = C like cut, generating asequence of

18 Sep 2014: Proof. Let C be such that the Γ-translates of B(x0,C) cover X. ... Consider a triangle (x,y,z), contained in a ball B = Bx(R).

16 Apr 2014: We can find minimalprimes p′A A, p′B B such that p′ = (p′A,p′B). ... Let B = Â. Then:. 1. For each minimal prime q B, B/q is O-flat of dimension d 1, and B/(λ) is generically reduced.