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Main Authors:	Campillo, Mathilda, Osorno, Angélica, Rivera, Manuel
Format:	Preprint
Published:	2024
Subjects:	Algebraic Topology Category Theory
Online Access:	https://arxiv.org/abs/2411.10567
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Comparing dg category models for path spaces via $A_\infty$-functors
by: Rivera, Manuel, et al.
Published: (2025)

Koszul duality and Calabi-Yau structures
by: Holstein, Julian, et al.
Published: (2024)

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)

Coherence for adjunctions in a $3$-category via string diagrams
by: Araújo, Manuel
Published: (2021)

Finiteness and finite domination in stratified homotopy theory
by: Volpe, Marco
Published: (2024)

Approximate Fibrations in Higher Topos Theory
by: Kremer, Christian, et al.
Published: (2025)

Concentration structures on categories and horizontal categorification
by: Luo, Yangxiao, et al.
Published: (2025)

$(\infty,2)$-Topoi and descent
by: Abellán, Fernando, et al.
Published: (2024)

Path spaces of pushouts
by: Wärn, David
Published: (2024)

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

PROPs associated to Lawvere theories and their relation to polynomial functors
by: Kim, Minkyu
Published: (2024)

Sectional number of a morphism
by: Zapata, Cesar A. Ipanaque
Published: (2024)

Straightening for lax transformations and adjunctions of $(\infty,2)$-categories
by: Abellán, Fernando, et al.
Published: (2024)

Schwarz Modular Operads Revisited: $\mathcal{SM}=\mathcal{S}\circ\mathcal{M}$
by: Kaufmann, Ralph M., et al.
Published: (2024)

Positselski duality in $\infty$-categories
by: Aambø, Torgeir
Published: (2024)

Unital k-Restricted Infinity-Operads
by: Dubey, Amartya Shekhar, et al.
Published: (2024)

Finite combinatorics implicit in the basic definitions of topology
by: Gavrilovich, Misha
Published: (2024)

Higher categories
by: Haugseng, Rune
Published: (2024)

Operadic Fibrations and Unary Operadic 2-categories
by: Trnka, Dominik
Published: (2024)

The decomposition space perspective
by: Hackney, Philip
Published: (2024)

Classification of localizing subcategories along t-structures
by: Aambø, Torgeir
Published: (2024)

On The Telescopic Picard Group
by: Keidar, Shai
Published: (2024)

Uniqueness and $(\infty,2)$-Naturality of Yoneda
by: Ben-Moshe, Shay
Published: (2024)

On bi-enriched $\infty$-categories
by: Heine, Hadrian
Published: (2024)

On the straightening of every functor
by: Blom, Thomas
Published: (2024)

On the chain rule in Goodwillie calculus
by: Blans, Max, et al.
Published: (2024)

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

Profinite completions of products
by: Haine, Peter J.
Published: (2024)

Derived Stone Embedding
by: Kaminski, Amos
Published: (2024)

The higher algebra of weighted colimits
by: Heine, Hadrian
Published: (2024)

Simplicial lists in operad theory I
by: Haderi, Redi, et al.
Published: (2024)

The right cancellation property for certain classes of dendroidal anodynes
by: Barata, Miguel
Published: (2024)

The Grothendieck Construction for $\infty$-Categories Fibered over Categorical Patterns
by: Arakawa, Kensuke
Published: (2024)

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

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

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

3-Crossed modules, Quasi-categories, and the Moore complex
by: Fukuda, Masaki, et al.
Published: (2025)

Fully-Dualizable and Invertible $\mathcal{E}_n$-Algebras
by: Vazquez, Pablo Bustillo
Published: (2026)

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* * @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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