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Main Authors:	Lombardi, Henri, Labhalla, Salah, Moutai, E.
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 68Q55, 03F60, 54C35, 54E35
Online Access:	https://arxiv.org/abs/2502.13768
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A natural pseudometric on homotopy groups of metric spaces
by: Brazas, Jeremy, et al.
Published: (2022)

Not OCA and products of Frechet spaces
by: Dow, Alan
Published: (2025)

Expansive homeomorphisms on complexity quasi-metric spaces
by: Gaba, Yaé U.
Published: (2026)

Characterizations of $\mathbb{N}$-compactness and realcompactness via ultrafilters in the absence of the axiom of choice
by: Olfati, AliReza, et al.
Published: (2024)

Computability of digital cubical singular homology of $c_1$-digital images
by: Jamil, Samira Sahar, et al.
Published: (2022)

Closed copies of $\mathbb{N}$ in $\mathbb{R}^{ω_1}$
by: Dow, Alan, et al.
Published: (2023)

Noetherian Properties, Large Cardinals, and Independence Around $\aleph_ω$
by: Soukup, Lajos, et al.
Published: (2025)

Topology and category for singular product spaces
by: Hayashi, Yusuke, et al.
Published: (2026)

The complexity of root-finding in orders
by: Spelier, Pim
Published: (2021)

Foundational Analysis Of The Solvability Complexity Index: The Weihrauch-SCI Intermediate Hierarchy
by: Sorg, Christopher
Published: (2026)

High dimensional countable compactness and ultrafilters
by: Corral, Cesar, et al.
Published: (2024)

Problems on $β\mathbb{N}$
by: Hart, Klaas Pieter, et al.
Published: (2022)

Quasi-metric spaces on which real-valued continuous functions are uniformly continuous
by: Singh, Om Dev, et al.
Published: (2025)

Characterizing Lipschitz images of injective metric spaces
by: Bąk, Judyta, et al.
Published: (2024)

Local and global properties of spaces of minimal usco maps
by: Bardyla, Serhii, et al.
Published: (2024)

A density counterpart of the Scheepers covering property
by: Aurichi, Leandro, et al.
Published: (2025)

Continuous Selections, Function Spaces and Partitions of Unity
by: Gutev, Valentin
Published: (2026)

On uniformly continuous surjections between function spaces
by: Eysen, Ali Emre, et al.
Published: (2024)

On uniformly continuous surjections between $C_p$-spaces over metrizable spaces
by: Eysen, A., et al.
Published: (2024)

Higher homotopy wild sets
by: Brazas, Jeremy, et al.
Published: (2025)

Compact subspaces of the space of separately continuous functions with the cross-uniform topology
by: Maslyuchenko, Oleksandr, et al.
Published: (2024)

Quasiorders for a characterization of iso-dense spaces
by: Richmond, Tom, et al.
Published: (2024)

Banach-Stone type theorems on uniformly continuous and lipschitz continuous pseudometrics
by: Koshino, Katsuhisa
Published: (2026)

Modulo arithmetic of function spaces: Subset hyperspaces as quotients of function spaces
by: Akofor, Earnest
Published: (2025)

The class $C(ω_1)$ and countable net weight
by: Juhász, István, et al.
Published: (2023)

Properties of the space of group-valued continuous functions
by: Mishra, Sanjay, et al.
Published: (2024)

Consistency and independence phenomena involving cellular-Lindelof spaces
by: Hernández-Gutiérrez, Rodrigo, et al.
Published: (2024)

An effective version of the Stone duality
by: Bazhenov, Nikolay A., et al.
Published: (2026)

On free bases of Banach spaces
by: Pernecká, E., et al.
Published: (2024)

Frequency Sensitive Duplicate Detection Using Multi-Metric Spaces
by: Chatterjee, Debjyoti, et al.
Published: (2026)

On weak*-basic sequences in duals and biduals of spaces C(X) and Quojections
by: Kakol, Jerzy, et al.
Published: (2026)

Lotz-Peck-Porta and Rosenthal's theorems for spaces $C_p(X)$
by: Kąkol, Jerzy, et al.
Published: (2025)

The category of probabilistic metric spaces
by: Colebunders, Eva, et al.
Published: (2026)

Manifold pathologies and Baire-1 functions as cohomotopy groups
by: Chirvasitu, Alexandru
Published: (2024)

On real-valued functions of Lipschitz type
by: Gutev, Valentin
Published: (2024)

Critical partition regular functions for compact spaces
by: Filipów, Rafał, et al.
Published: (2026)

Cardinal functions and mappings associated with the space of quasi-continuous functions equipped with topology of point-wise convergence
by: Mishra, Sanjay, et al.
Published: (2024)

Countable tightness is not discretely reflexive in $σ$-compact spaces
by: Juhász, István, et al.
Published: (2024)

Pseudocompact versus countably compact in first countable spaces
by: Juhász, István, et al.
Published: (2024)

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// 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'

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