Timeline for Are nets and filters useful in geometry and topology?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jan 17, 2023 at 16:17 | comment | added | Jochen Wengenroth | The title of Vietoris' article is ,,Stetige Mengen'' (continuous sets). | |
| Aug 25, 2019 at 9:07 | comment | added | user131781 | Nets were NOT initially expounded by Moore and Smith, but by L. Vietoris who anticipated them by a couple of years and in greater generality in his dissertation „Stetige Mangen“ which was published in Monatsheft. Math. in 1919 (available online) and in which he was the first to introduce the modern notion of compactness, rather than sequential compactness. Even more remarkably he simultaneously introduced and studied the concept of a filter, thus anticipating Cartan and Bourbaki by nearly two decades. Of course he used his own german language terminology which never caught on. | |
| Jul 16, 2010 at 2:14 | comment | added | The Mathemagician | Yes,since the Riemann integral is an analytical construction in finite dimensional Euclidean spaces. But if that was thier sole use in mathematics,they would still be a VERY significant construction,don't you think? | |
| Jul 16, 2010 at 0:23 | history | answered | Gerald Edgar | CC BY-SA 2.5 |