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Publikováno v:
Fundamenta Mathematicae. 253:257-275
We construct, using mild combinatorial hypotheses, a real Menger set that is not Scheepers, and two real sets that are Menger in all finite powers, with a non-Menger product. By a forcing-theoretic argument, we show that the same holds in the Blass--
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c0b0ed002ea27fde614a46fa913a4f1
https://doi.org/10.4064/fm896-4-2020
https://doi.org/10.4064/fm896-4-2020
Autor:
Boaz Tsaban, Piotr Szewczak
Publikováno v:
Topology and its Applications. 255:41-55
We study, in a systematic manner, products of general topological spaces with Menger's covering property, and its refinements based on filters and semifilters. To this end, we apply Dedekind compactification to extend the projection method from the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b3d648786a62e5791b9933109e000cd
https://doi.org/10.1016/j.topol.2019.01.005
https://doi.org/10.1016/j.topol.2019.01.005
The book features original papers from International Conference on Cryptology & Network Security with Machine Learning (ICCNSML 2023), organized by PSIT, Kanpur, India during 27–29 October 2023. This conference proceeding provides the understanding
The book features original papers from International Conference on Cryptology & Network Security with Machine Learning (ICCNSML 2022), organized by PSIT, Kanpur, India during 16 – 18 December 2022. This conference proceeding will provide the unders
Publikováno v:
Repositori Universitat Jaume I
Universitat Jaume I
Universitat Jaume I
We provide a complete classification of the possible cofinal structures of the families of precompact (totally bounded) sets in general metric spaces, and compact sets in general complete metric spaces. Using this classification, we classify the cofi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b28379b0a3126c7e9d8df4bbe5ea07f5
http://hdl.handle.net/10234/189225
http://hdl.handle.net/10234/189225
Publikováno v:
Topology and its Applications. 309:107914
A topological group G is Menger-bounded if, for each sequence U 1 , U 2 , … of open sets, there are finite sets F 1 , F 2 , … such that G = ⋃ n F n ⋅ U n . It is Scheepers-bounded if all of its finite powers are Menger-bounded. A notorious op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f685fa1a465a53f4091ad8f9814d8b34
https://doi.org/10.1016/j.topol.2021.107914
https://doi.org/10.1016/j.topol.2021.107914
Autor:
Boaz Tsaban, Noam Lifshitz
Publikováno v:
Journal of Mathematical Cryptology, Vol 9, Iss 2, Pp 75-78 (2015)
The fully homomorphic symmetric encryption scheme MORE encrypts keys by conjugation with a random invertible matrix over an RSA modulus. We provide a two known-ciphertexts cryptanalysis recovering a linear dependence among the two encrypted keys. 1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2b98a17f283c3588f5b3080db067c96
https://doi.org/10.1515/jmc-2014-0013
https://doi.org/10.1515/jmc-2014-0013
Publikováno v:
Fundamenta Mathematicae. :1-26
The \emph{linear refinement number} $\mathfrak{lr}$ is the minimal cardinality of a centered family in $[\omega]^\omega$ such that no linearly ordered set in $([\omega]^\omega,\subseteq^*)$ refines this family. The \emph{linear excluded middle number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed0d3e0d0ca312c3a98765965738e95
https://doi.org/10.4064/fm124-8-2015
https://doi.org/10.4064/fm124-8-2015
Autor:
Boaz Tsaban, Lyubomyr Zdomskyy
Publikováno v:
Fundamenta Mathematicae. :1-13
We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos's property $\alpha_{1.5}$ is equivalent to Arhangel'ski\u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb4862b3a64e40686797936faae1aed2
https://doi.org/10.4064/fm994-1-2016
https://doi.org/10.4064/fm994-1-2016