Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Scheepers, Marion"'
For $D$ a natural number that is not a perfect square and for $k$ a non-zero integer, consider the subset $\mathbb{Z}_k(\sqrt{D})$ of the quadratic integer ring $\mathbb{Z}(\sqrt{D})$ consisting of elements $x+y\sqrt{D}$ for which $x^2 - Dy^2 = k$ .
Externí odkaz:
http://arxiv.org/abs/2402.10864
Autor:
Scheepers, Marion
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 produc
Externí odkaz:
http://arxiv.org/abs/2205.13132
Autor:
Scheepers, Marion
The Borel covering property, introduced a century ago by E. Borel, is intimately connected with Ramsey theory, initiated ninety years ago in an influential paper of F.P. Ramsey. The current state of knowledge about the connection between the Borel co
Externí odkaz:
http://arxiv.org/abs/1912.03796
The special purpose sorting operation, context directed swap (CDS), is an example of the block interchange sorting operation studied in prior work on permutation sorting. CDS has been postulated to model certain molecular sorting events that occur in
Externí odkaz:
http://arxiv.org/abs/1811.11937
Autor:
Scheepers, Marion
We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [8] holds while the classical Borel Conjecture fails.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1808.07613
In [8] the authors initiate the study of selective versions of the notion of $\theta$-separability in non-regular spaces. In this paper we continue this investigation by establishing connections between the familiar cardinal numbers arising in the se
Externí odkaz:
http://arxiv.org/abs/1808.07174
We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1808.07160
Autor:
Scheepers, Marion
The proof of Theorem 11 of the paper M. Scheepers, Remarks on countable tightness, Topology and its Applications 161 (2014), 407 - 432 relies on Lemma 10 of that paper. The offered proof of Lemma 10 had shortcomings, and I was recently asked for deta
Externí odkaz:
http://arxiv.org/abs/1509.09296
Selective versions of screenability and of strong screenability coincide in a large class of spaces. We show that the corresponding games are not equivalent in even such standard metric spaces as the closed unit interval. We identify sufficient condi
Externí odkaz:
http://arxiv.org/abs/1503.08467