$(\infty,n)$-categories in context

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Ozornova, Viktoriya, Rovelli, Martina
Format:	Preprint
Publié:	2025
Sujets:	Algebraic Topology
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Cores and localizations of $(\infty,\infty)$-categories
par: Ozornova, Viktoriya, et autres
Publié: (2026)

Waldhausen's $S_\bullet$-construction
par: Ozornova, Viktoriya, et autres
Publié: (2024)

Pushouts of Dwyer maps are $(\infty,1)$-categorical
par: Hackney, Philip, et autres
Publié: (2022)

A model for the coherent walking $ω$-equivalence
par: Hadzihasanovic, Amar, et autres
Publié: (2024)

The Morita $(\infty,2)$-category of a monoidal category as a $2$-complicial set
par: Dutta, Arghan, et autres
Publié: (2025)

A homotopy coherent nerve for $(\infty,n)$-categories
par: Moser, Lyne, et autres
Publié: (2022)

On k-invariants for $(\infty, n)$-categories
par: Harpaz, Yonatan, et autres
Publié: (2020)

Discreteness and completeness for $Θ_n$-models of $(\infty,n)$-categories
par: Bergner, Julia E.
Publié: (2022)

The $S_\bullet$-construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces
par: Rovelli, Martina
Publié: (2024)

Enriched $\infty$-categories as marked module categories
par: Reutter, David, et autres
Publié: (2025)

Positselski duality in $\infty$-categories
par: Aambø, Torgeir
Publié: (2024)

On bi-enriched $\infty$-categories
par: Heine, Hadrian
Publié: (2024)

$(\infty,n)$-Limits I: Definition and first consistency results
par: Moser, Lyne, et autres
Publié: (2023)

Globalizing and stabilizing global $\infty$-categories
par: Linskens, Sil
Publié: (2024)

$(\infty,n)$-Limits II: Comparison across models
par: Moser, Lyne, et autres
Publié: (2024)

Fully faithful functors and pushouts of $\infty$-categories
par: Haine, Peter J., et autres
Publié: (2025)

Classifying anima of condensed $\infty$-categories of points
par: Haine, Peter J.
Publié: (2026)

A monoidal Grothendieck construction for $\infty$-categories
par: Ramzi, Maxime
Publié: (2022)

Straightening for lax transformations and adjunctions of $(\infty,2)$-categories
par: Abellán, Fernando, et autres
Publié: (2024)

A local-global principle for parametrized $\infty$-categories
par: Heine, Hadrian
Publié: (2024)

An equivalence between two models of $\infty$-categories of enriched presheaves
par: Heine, Hadrian
Publié: (2023)

Flat functors in the context of fibration categories
par: Cherradi, El Mehdi
Publié: (2026)

Colimits in the $\infty$-category of $\infty$-topoi and étale morphisms
par: Uemura, Taichi
Publié: (2025)

From Hopf Algebras in Model Categories to Hopf Algebras in $\infty$-categories
par: Klang, Inbar, et autres
Publié: (2025)

Free fibrations, lax colimits and Kan extensions for $(\infty,2)$-categories
par: Abellán, Fernando, et autres
Publié: (2026)

Coproduct idempotent algebras over internal operads in enriched $\infty$-categories
par: Mocchetti, Federico Ernesto
Publié: (2024)

The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$
par: Balchin, Scott, et autres
Publié: (2022)

Dualizable presentable $\infty$-categories
par: Ramzi, Maxime
Publié: (2024)

Locally rigid $\infty$-categories
par: Ramzi, Maxime
Publié: (2024)

Zigzags and free adjunctions
par: Riva, Lorenzo, et autres
Publié: (2025)

Comparing dg category models for path spaces via $A_\infty$-functors
par: Rivera, Manuel, et autres
Publié: (2025)

Internal languages of locally cartesian closed $(\infty,1)$-categories
par: Cherradi, El Mehdi
Publié: (2025)

Equivalence of cubical and simplicial approaches to $(\infty,n)$-categories
par: Doherty, Brandon, et autres
Publié: (2021)

Report on $\mathbb{E}_\infty$-descendability
par: Antieau, Benjamin, et autres
Publié: (2025)

Strictification of $\infty$-Groupoids is Comonadic
par: Strong, Kimball
Publié: (2024)

Analog category and complexity
par: Knudsen, Ben, et autres
Publié: (2024)

A braided monoidal $(\infty,2)$-category of Soergel bimodules
par: Liu, Yu Leon, et autres
Publié: (2024)

Factorization homology of enriched $\infty$-categories
par: Ayala, David, et autres
Publié: (2017)

$\mathbb{E}_n$-algebras in m-categories
par: Liu, Yu Leon
Publié: (2024)

Unstable arithmetic fracture squares in $\infty$-topoi
par: Mattis, Klaus
Publié: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"4fc6f349c1e111dfb20ae64bc4184faf"
ui	"standard"
language	"fr"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790996867.5918 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "4fc6f349c1e111dfb20ae64bc4184faf" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=4fc6f349c1e111dfb20ae64bc4184faf; ui=standard; language=fr"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"1831"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2501_05969/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2501_05969/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790996867.5864
REQUEST_TIME	1790996867

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler