论文标题
拓扑组的选择原理和产品
A Selection Principle and Products in Topological Groups
论文作者
论文摘要
我们考虑基于选择原则的产品，有限的力量和强迫的保存，涵盖了$ t_0 $拓扑组的属性。尽管本文是一部调查，但它贡献了一些新信息，包括： 1。由O结合组的严格O型组的乘积是O结合的组-1rorallary 18 2。在$ \ aleph_1 $ hechler的有限支撑迭代中，hechler real the the-bond ock of thembound Model $ \ aleph_0 $有限群体的产品是O-BONDEC的组-Theorem 19 3。在通用扩展中，通过长度为$ \ aleph_2 $ mathias的可数支持迭代介绍了任何具有地面模型$ \ aleph_0 $限制组的O-BOND型组的产品是O-BONDEAD组-Theorem 20。
We consider the preservation under products, finite powers, and forcing, of a selection principle based covering property of $T_0$ topological groups. Though the paper is in part a survey, it contributes some new information, including: 1. The product of a strictly o-bounded group with an o-bounded group is an o-bounded group - Corollary 18 2. In the generic extension by a finite support iteration of $\aleph_1$ Hechler reals the product of any o-bounded group with a ground model $\aleph_0$ bounded group is an o-bounded group - Theorem 19 3. In the generic extension by a countable support iteration of length $\aleph_2$ Mathias reals the product of any o-bounded group with a ground model $\aleph_0$ bounded group is an o-bounded group - Theorem 20.
