:: Library Catalog

Saved in:

Bibliographic Details
Main Author:	Lee, Darrick
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis Algebraic Topology Category Theory Differential Geometry Probability
Online Access:	https://arxiv.org/abs/2406.16857
Tags:	Add Tag No Tags, Be the first to tag this record!

Thin homotopy and the signature of piecewise linear surfaces
by: Bischoff, Francis, et al.
Published: (2025)

Representability in non-linear elliptic Fredholm analysis
by: Pardon, John
Published: (2023)

On the structure of étale fibrations of $L_\infty$-bundles
by: Behrend, Kai, et al.
Published: (2023)

The Diffeological Čech-de Rham Obstruction
by: Minichiello, Emilio
Published: (2024)

Diffeological Principal Bundles and Principal Infinity Bundles
by: Minichiello, Emilio
Published: (2022)

Stereotype Dualities in Geometry
by: Akbarov, S. S.
Published: (2023)

Differential graded manifolds of finite positive amplitude
by: Behrend, Kai, et al.
Published: (2023)

The Operadic Spectrum and Obstructions to Spectral Base Change
by: Chang, Shih-Yu
Published: (2026)

Integral Perverse Obstructions for Normal Surface Singularities: Resolution Determinants and Monodromy
by: Rahman, Abdul
Published: (2026)

Differentiable structures on a union of two open sets
by: Lysynskyi, Mykola, et al.
Published: (2025)

Higher Topos Theory in Physics
by: Schreiber, Urs
Published: (2023)

Very Schwartz coidempotents and continuous spectrum
by: Aoki, Ko
Published: (2025)

A Classification of Six Functor Formalisms via Structured Spaces
by: Nabaala, Salash Tolan
Published: (2025)

A symmetric monoidal fracture square
by: Naumann, Niko, et al.
Published: (2024)

Exodromy beyond conicality
by: Haine, Peter J., et al.
Published: (2024)

Topological field theories associated with Calabi-Yau categories
by: Bozec, Tristan, et al.
Published: (2024)

Algebraic Models for Quasi-Coherent Sheaves in Spectral Algebraic Geometry
by: Pratt, Adam
Published: (2024)

Hochschild cohomology of the second kind: Koszul duality and Morita invariance
by: Guan, Ai, et al.
Published: (2023)

Homotopical algebra of Lie-Rinehart pairs
by: Pištalo, Damjan
Published: (2026)

Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
by: Montagnani, Matteo
Published: (2026)

A characterization of finite étale morphisms in tensor triangular geometry
by: Sanders, Beren
Published: (2021)

Torsion Trajectories from Local Discriminants to Global Obstructions
by: Rahman, Abdul
Published: (2026)

Classification of fully dualizable linear categories
by: Stefanich, Germán
Published: (2023)

Hypersheaves and bases
by: Dyckerhoff, Tobias, et al.
Published: (2025)

The sheaves--spectrum adjunction
by: Aoki, Ko
Published: (2023)

Categorification of sheaf theory
by: Stefanich, Germán
Published: (2025)

The formal spectrum of a tensor-triangulated category
by: Heard, Drew, et al.
Published: (2026)

Convexity in tensor triangular geometry
by: Zou, Changhan
Published: (2025)

Toric Mirror Symmetry for Homotopy Theorists
by: Bai, Qingyuan, et al.
Published: (2025)

A bi-variant algebraic cobordism via correspondences
by: Yokura, Shoji
Published: (2022)

Infinity-categorical universal properties of quotients and localizations of A-infinity-categories
by: Oh, Yong-Geun, et al.
Published: (2020)

Non-linear microlocal cut-off functors
by: Zhang, Bingyu
Published: (2024)

Almost mathematics, Persistence module, and Tamarkin category
by: Kuwagaki, Tatsuki, et al.
Published: (2025)

Rust Implementation of Finite Element Exterior Calculus on Coordinate-Free Simplicial Complexes
by: Wirth, Luis
Published: (2025)

Relative Stability Conditions on Triangulated Categories
by: Liu, Bowen, et al.
Published: (2024)

Quasi-coherent sheaves and D-modules in Derived Differential Supergeometry
by: Carchedi, David
Published: (2025)

Enhancement for categories and homotopical algebra
by: Kaledin, D.
Published: (2024)

How to enhance categories, and why?
by: Kaledin, D.
Published: (2024)

Tensor triangular geometry -- Notes for an Oberwolfach Seminar
by: Krause, Henning
Published: (2026)

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	"8d2da52e69c6948fd979ef4a64c22404"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784674661.0709 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "8d2da52e69c6948fd979ef4a64c22404" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=8d2da52e69c6948fd979ef4a64c22404; language=en; ui=standard"
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	"216.73.216.85"
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	"64978"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2406_16857/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2406_16857/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784674661.0657
REQUEST_TIME	1784674661

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"8d2da52e69c6948fd979ef4a64c22404"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784674661.0709 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "8d2da52e69c6948fd979ef4a64c22404" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=8d2da52e69c6948fd979ef4a64c22404; language=en; ui=standard"
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	"216.73.216.85"
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	"64978"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2406_16857/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2406_16857/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784674661.0657
REQUEST_TIME	1784674661

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: