Forcing tightness in products of fans

Details Forcing tightness in products of fans Forcing tightness in products of fans

1994-07-17

arxiv.org/abs/math/9407206v1

Mathematics

Logic

Scientific paper

The theta--fan F_theta is the quotient space obtained by identifying the non--isolated points of the product theta \times (omega+1) with a single point \infty. (Here, theta has the discrete topology and omega+1 has the order topology.) We define several notions of forcing that allow us to manipulate the tightness t of products of fans. Some consequences include: t (F_theta \times F_omega) = theta does not imply the existence of a (theta,omega)--gap, new examples of first countable

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