Channel
@darj_fantizies
On this record: Topic · Growth · Engagement · Reactions · Posts · Citations · Cite this entry
451subscribers
+86 since we began measuring on 9 August 2026
Risers and fallers across the register · movement among entries of Under 1,000.
| Telegram ID | -1001333656507 |
|---|---|
| Type | Channel |
| Username | @darj_fantizies |
| Created | Between 1 March 2018 and 31 August 2021 — estimated from Telegram’s id allocation, not measured. How this range is calculated. |
| First recorded | 9 August 2026 |
| Last confirmed live | 19 September 2026 |
| Measurements held | 7 |
| Confirmed unchanged | 1 time, most recently 19 September 2026 |
| On Telegram | t.me/darj_fantizies |
Science — a classification, not a measurement. An on-box language model (Qwen3.6-35B-A3B-FP8, prompt version 1) read this channel’s own recent posts on 21 September 2026 and assigned it the closest of 31 fixed categories, at 82% confidence. This is a model’s judgement about what the channel is likely to be about, not a fact this register measured the way a subscriber count or a view count is measured — it can be revised on a later pass, and it carries no weight anywhere else on this page. How this classification works, and why it has no browse page of its own yet.
| Measured (UTC) | Subscribers | Change |
|---|---|---|
| 19 Sept 2026, 00:41 | 451 | +10 |
| 10 Sept 2026, 10:36 | 441 | +69 |
| 1 Sept 2026, 10:37 | 372 | +6 |
| 24 Aug 2026, 15:02 | 366 | +2 |
| 17 Aug 2026, 20:15 | 364 | -1 |
| 10 Aug 2026, 15:23 | 365 | no change |
| 9 Aug 2026, 22:16 | 365 | first reading |
17 posts held, back to 12 September 2024 — the reader has not yet reached the start of this channel’s public history, so older posts may sit further back, unread. Read across 1 page of Telegram’s post history, 20 posts per page.
Nothing published in the last 30 days. ERR and ER are rolling 30-day measures, so there is nothing to compute — we hold 17 posts for this entry, the most recent from 9 August 2025. An engagement rate over an empty window would be a number about nothing.
213 reactions across 16 posts, in 13 distinct kinds. The most used accounts for 26.3% of them.
| Reaction | Count | Share | Share, drawn |
|---|---|---|---|
| 🔥 | 56 | 26.3% | |
| ❤ | 46 | 21.6% | |
| 👍 | 31 | 14.6% | |
| ❤🔥 | 25 | 11.7% | |
| 🤯 | 21 | 9.86% | |
| ✍ | 19 | 8.92% | |
| 🤣 | 5 | 2.35% | |
| 🥰 | 3 | 1.41% | |
| 💘 | 2 | 0.939% | |
| 🗿 | 2 | 0.939% | |
| 🕊 | 1 | 0.469% | |
| 😁 | 1 | 0.469% | |
| 🦄 | 1 | 0.469% |
No sentiment is inferred, and none should be read in. This table is ordered by count and by nothing else. Emoji do not carry stable meaning across languages or communities — 🙏 is thanks in one channel and mourning in another — so we publish which ones were pressed and how often, and pass no judgement on what an audience meant by them.
Precision. Telegram publishes reaction counts per emoji and short-forms each one — 4.34K, 1.2M — so any single kind at or above 1,000 reaches us at three significant figures, and only counts below 1,000 are exact. The shares above are ratios of those figures and carry the same error. This is also why the total here can differ slightly from a reaction total printed elsewhere on the page: both are sums of the same rounded parts, taken over samples with different edges.
Coverage. Reactions were read on 16 of the 17 sampled posts in this sample. Summed by Telegram’s own count on each post — not by adding up the per-emoji breakdown above — those same posts carry 213 reactions in total: the kind of figure the paragraph above means by “a reaction total printed elsewhere on the page”.
Measured over the 17 most recent posts we hold, published 12 September 2024 to 9 August 2025, using the newest reading held for each. Telegram Stars are excluded: they are a payment, not a reaction, and they have their own section.
Напомню, что если X это grouplike H-пространство, то можно задать произведение Самельсона на сфероидах a∈π_p(X), b∈π_q(X): <a, b>: S^{p+q} = S^p ∧ S^q → X ∧ X → X, где вторая стрелка это коммутатор [a, b] = abAB (большой регистр означает взятие обратного). В частности, если X = ΩY, то есть произведение Самельсона на гомотопическом модуле π_*(X), которое с точностью до знака совпадает со скобкой Уайтхеда на π_*(Y). …
🔥4👍3
https://arxiv.org/abs/2410.05708
🔥11❤🔥1
https://arxiv.org/abs/2507.09636
❤10🤯9🔥6❤🔥1🤣1
Photo, posted without a caption
🔥18❤8❤🔥5💘2🕊1🤣1🦄1
Словарик лимов для коинвариантов внешних степеней модуля соотношений
✍9🥰3🗿2🤣1
Рациональный словарик fr-языка для конечных групп
✍10❤🔥7🤯5🔥2🤣1😁1
Давайте расскажу как доказывается наш основной рез Мы проверяем, что обе подгруппы (циклы и границы комплекса) инвариантны относительно всех автоморфизмов P_n. Какие они бывают? (1) Есть автоморфизмы, которые приходят из группы обычных кос, то есть образ вложения Aut(B_n) → Aut(P_n). у группы обычных кос автоморфизмов не так много, это внутренние автоморфизмы (сопряжения обычными косами), и ещё есть одно полупрямое…
👍3🤣1
Мы видели, что ядра удаления нитей не являются характеристическими подгруппами в P_n, и причина этому такая, что эти подгруппы не нормальны в B_n. Группу кос B_n можно отождествить с группой классов отображений (mapping class group) диска с n проколами B_n = MCG(D², n), то есть группу неподвижных на границе автогомеоморфизмов D² \ {p_1, ..., p_n} с точностью до автоизотопий Группа кос B_n порождается элементарными…
👍1
Перед объяснением этого феномена, давайте я расскажу, как можно мыслить гомологии комплекса Brun_* Это красивый сюжет, который может передать ощущение, почему мы это изучаем Косы можно аналогично рассматривать на любых поверхностях M, отличных от диска P_n(M) := π_1(Conf(M, n)) Для нас особенно примечательны группы кос на сфере S² и на RP², там много экзотических брунновых кос Одноточечная компактификация диска …
🔥12
Нашу совместку приняли в HHA, залили на архив последнюю ревизию https://arxiv.org/abs/2112.05805 Давайте расскажу, что здесь происходит, это наш старый проект ещё с лета 2021 года Группа крашеных кос P_n это π_1 от конфигурационного пространства n упорядоченных точек в диске Conf(D², n) := Emb({1, ..., n}, D²). Коса это танец точек на диске. График косы живёт в цилиндре D² × I. Если проследить, что описывает одна н…
❤13👍4
Башня Уайтхеда и p-пополнения (3/3) Напомним, что с каждым пространством X можно связать его башню Уайтхеда X ← X<1> ← X<2> ← X<3> ← ... Она характеризуется тем, что X<n> n-связно (то есть нет гомотопических групп ниже n+1), и индуцирует изоморфизм с X на всех гомотопических группах, начиная с n+1. Например, X<1> это универсальное накрытие пространства. То есть мы режем пространство снизу, зануляя младшие группы. Ка…
❤🔥9👍5🤯4❤2
Башня Уайтхеда и p-пополнения (2/3) Локализации пространств активно начал изучать Деннис Сулливан. В своей книге с говорящим названием "Geometric Topology" он пишет «This compulsion to localize began with the author’s work on invariants of combinatorial manifolds in 1965-67. It was clear from the beginning that the prime 2 and the odd primes had to be treated differently...» Любая конечная абелева группа раскладыв…
👍4❤2
Showing the 12 most recent of 17 posts we hold for @darj_fantizies. View and reaction counts are the latest single reading for each post, not a live figure, and a recent post is still accumulating both. A view count marked ≈ was rounded by Telegram before we ever saw it — t.me prints views in full below 1,000 and to three significant figures above, so ≈1,200,000 means somewhere between 1,150,000 and 1,249,999. Unmarked counts are exact. Text is reproduced from the public post preview and truncated for length.
Named by 1 registered channel — every channel on the register whose own posts have named this one, by its current username or any other username it currently holds, merged from two separately captured readings of the same fact so a namer caught by only one of them is not missed and a namer both caught is not counted twice. A username this channel has since dropped is not matched — that handle may belong to someone else now, and crediting today’s namer to yesterday’s owner would misattribute it.
Named by
Channels on the register whose posts name this channel's handle.
A mention is a weaker signal than a forward and is counted separately for that reason — naming a channel is not republishing it, and a handle in a post body is easy to place deliberately. The post counts beside each row below are distinct posts in which the handle appeared, from posts we have read on both sides — the “Named by N registered channels” figure above is a different count, of distinct NAMING CHANNELS rather than posts, and is not the sum of the rows under it.
A live page changes as we take new readings, so a citation should name the measurement it is based on, not just the URL. The line below cites the subscriber count as measured 19 September 2026 — this entry's latest reading, not the date you are reading this.
“ultimately related” (@darj_fantizies), 451 subscribers as measured 19 September 2026. Telegram Register, tgregister.com/channel/darj_fantizies.
Full measurement history, CC BY 4.0. Every reading this register holds for this entry, not just the latest one, as a dated, downloadable record: CSV · JSON. Free to use with attribution to tgregister.com. Each file carries its own generation timestamp, which is the figure to cite for exactly when the data was retrieved.