Arithmetic progression topologies (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Arithmetic progression topologies" in English language version.

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9doi.org

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1ems-ph.org

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ams.org

mathscinet.ams.org

Furstenberg 1955. Furstenberg, Harry (1955), "On the infinitude of primes", American Mathematical Monthly, 62 (5), Mathematical Association of America: 353, doi:10.2307/2307043, JSTOR 2307043, MR 0068566.

arxiv.org

Banakh, Taras; Spirito, Dario; Turek, Sławomir (2021-10-28). "The Golomb space is topologically rigid". Commentationes Mathematicae Universitatis Carolinae. 62 (3): 347–360. arXiv:1912.01994. doi:10.14712/1213-7243.2021.023. ISSN 0010-2628. S2CID 240183836.
Banakh, Taras; Stelmakh, Yaryna; Turek, Sławomir (2021-12-01). "The Kirch space is topologically rigid". Topology and Its Applications. 304: 107782. arXiv:2006.12357. doi:10.1016/j.topol.2021.107782. S2CID 219966624.
Spirito, Dario (2019-06-24). "The Golomb topology on a Dedekind domain and the group of units of its quotients". arXiv:1906.09922 [math.GN].
Spirito, Dario (2019-11-06). "The Golomb topology of polynomial rings". arXiv:1911.02328 [math.GN].

doi.org

Furstenberg 1955. Furstenberg, Harry (1955), "On the infinitude of primes", American Mathematical Monthly, 62 (5), Mathematical Association of America: 353, doi:10.2307/2307043, JSTOR 2307043, MR 0068566.
Golomb, Solomon W. (1959). "A Connected Topology for the Integers". The American Mathematical Monthly. 66 (8): 663–665. doi:10.2307/2309340. ISSN 0002-9890. JSTOR 2309340.
Kirch, A. M. (February 1969). "A Countable, Connected, Locally Connected Hausdorff Space". The American Mathematical Monthly. 76 (2): 169–171. doi:10.1080/00029890.1969.12000163. ISSN 0002-9890.
Banakh, Taras; Spirito, Dario; Turek, Sławomir (2021-10-28). "The Golomb space is topologically rigid". Commentationes Mathematicae Universitatis Carolinae. 62 (3): 347–360. arXiv:1912.01994. doi:10.14712/1213-7243.2021.023. ISSN 0010-2628. S2CID 240183836.
Banakh, Taras; Stelmakh, Yaryna; Turek, Sławomir (2021-12-01). "The Kirch space is topologically rigid". Topology and Its Applications. 304: 107782. arXiv:2006.12357. doi:10.1016/j.topol.2021.107782. S2CID 219966624.
Lovas, R.; Mező, I. (2015). "Some observations on the Furstenberg topological space". Elemente der Mathematik. 70 (3): 103–116. doi:10.4171/EM/283. S2CID 126337479.
Broughan, Kevin A. (August 2003). "Adic Topologies for the Rational Integers". Canadian Journal of Mathematics. 55 (4): 711–723. doi:10.4153/CJM-2003-030-3. ISSN 0008-414X. S2CID 121286344.
Szczuka, Paulina (2010-10-01). "The Connectedness of Arithmetic Progressions in Furstenberg's, Golomb's, and Kirch's Topologies". Demonstratio Mathematica. 43 (4): 899–910. doi:10.1515/dema-2010-0416. ISSN 2391-4661. S2CID 122415499.
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul (2018-02-23). "A note on Golomb topologies". Quaestiones Mathematicae. 42 (1): 73–86. doi:10.2989/16073606.2018.1438533. ISSN 1607-3606. S2CID 126371036.

ems-ph.org

Lovas, R.; Mező, I. (2015). "Some observations on the Furstenberg topological space". Elemente der Mathematik. 70 (3): 103–116. doi:10.4171/EM/283. S2CID 126337479.

jstor.org

Furstenberg 1955. Furstenberg, Harry (1955), "On the infinitude of primes", American Mathematical Monthly, 62 (5), Mathematical Association of America: 353, doi:10.2307/2307043, JSTOR 2307043, MR 0068566.
Golomb, Solomon W. (1959). "A Connected Topology for the Integers". The American Mathematical Monthly. 66 (8): 663–665. doi:10.2307/2309340. ISSN 0002-9890. JSTOR 2309340.

semanticscholar.org

api.semanticscholar.org

Banakh, Taras; Spirito, Dario; Turek, Sławomir (2021-10-28). "The Golomb space is topologically rigid". Commentationes Mathematicae Universitatis Carolinae. 62 (3): 347–360. arXiv:1912.01994. doi:10.14712/1213-7243.2021.023. ISSN 0010-2628. S2CID 240183836.
Banakh, Taras; Stelmakh, Yaryna; Turek, Sławomir (2021-12-01). "The Kirch space is topologically rigid". Topology and Its Applications. 304: 107782. arXiv:2006.12357. doi:10.1016/j.topol.2021.107782. S2CID 219966624.
Lovas, R.; Mező, I. (2015). "Some observations on the Furstenberg topological space". Elemente der Mathematik. 70 (3): 103–116. doi:10.4171/EM/283. S2CID 126337479.
Broughan, Kevin A. (August 2003). "Adic Topologies for the Rational Integers". Canadian Journal of Mathematics. 55 (4): 711–723. doi:10.4153/CJM-2003-030-3. ISSN 0008-414X. S2CID 121286344.
Szczuka, Paulina (2010-10-01). "The Connectedness of Arithmetic Progressions in Furstenberg's, Golomb's, and Kirch's Topologies". Demonstratio Mathematica. 43 (4): 899–910. doi:10.1515/dema-2010-0416. ISSN 2391-4661. S2CID 122415499.
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul (2018-02-23). "A note on Golomb topologies". Quaestiones Mathematicae. 42 (1): 73–86. doi:10.2989/16073606.2018.1438533. ISSN 1607-3606. S2CID 126371036.

stackexchange.com

math.stackexchange.com

"The Kirch topology is the same as the prime integer topology".

tandfonline.com

Kirch, A. M. (February 1969). "A Countable, Connected, Locally Connected Hausdorff Space". The American Mathematical Monthly. 76 (2): 169–171. doi:10.1080/00029890.1969.12000163. ISSN 0002-9890.
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul (2018-02-23). "A note on Golomb topologies". Quaestiones Mathematicae. 42 (1): 73–86. doi:10.2989/16073606.2018.1438533. ISSN 1607-3606. S2CID 126371036.

worldcat.org

search.worldcat.org

Golomb, Solomon W. (1959). "A Connected Topology for the Integers". The American Mathematical Monthly. 66 (8): 663–665. doi:10.2307/2309340. ISSN 0002-9890. JSTOR 2309340.
Kirch, A. M. (February 1969). "A Countable, Connected, Locally Connected Hausdorff Space". The American Mathematical Monthly. 76 (2): 169–171. doi:10.1080/00029890.1969.12000163. ISSN 0002-9890.
Banakh, Taras; Spirito, Dario; Turek, Sławomir (2021-10-28). "The Golomb space is topologically rigid". Commentationes Mathematicae Universitatis Carolinae. 62 (3): 347–360. arXiv:1912.01994. doi:10.14712/1213-7243.2021.023. ISSN 0010-2628. S2CID 240183836.
Broughan, Kevin A. (August 2003). "Adic Topologies for the Rational Integers". Canadian Journal of Mathematics. 55 (4): 711–723. doi:10.4153/CJM-2003-030-3. ISSN 0008-414X. S2CID 121286344.
Szczuka, Paulina (2010-10-01). "The Connectedness of Arithmetic Progressions in Furstenberg's, Golomb's, and Kirch's Topologies". Demonstratio Mathematica. 43 (4): 899–910. doi:10.1515/dema-2010-0416. ISSN 2391-4661. S2CID 122415499.
Clark, Pete L.; Lebowitz-Lockard, Noah; Pollack, Paul (2018-02-23). "A note on Golomb topologies". Quaestiones Mathematicae. 42 (1): 73–86. doi:10.2989/16073606.2018.1438533. ISSN 1607-3606. S2CID 126371036.