On the Real Homotopy Type of Generalized Complex Nilmanifolds by Adela Latorre, Luis Ugarte, Raquel Villacampa

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On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds by Milivojević Aleksandar

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Approximate fixed points and fixed points for multi-valued almost E-contractions by Hoc Nguyen Huu

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k-Parabolic Subspace Arrangements by Christopher Severs, Jacob White

Subjects: “…discrete homotopy theory…”
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Weakly enriched higher categories by Haugseng, Rune

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Derived mapping spaces as models for localizations by Jennifer E. French. by French, Jennifer E

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Some examples of nontrivial homotopy groups of modules by C. Joanna Su

“…The idea was to produce an analog of homotopy theory in topology. Yet, unlike homotopy theory in topology, there are two homotopy theories of modules, the injective theory, π¯n(A,B), and the projective theory, π¯n(A,B). …”
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Homotopy in statistical physics by R.Kenna

“…In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. …”
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On Relative Homotopy Groups of Modules by C. Joanna Su

“…In his book “Homotopy Theory and Duality,” Peter Hilton described the concepts of relative homotopy theory in module theory. …”
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Pirashvili–Richter-type theorems for the reflexive and dihedral homology theories by Graves, Daniel

“…The latter has long been of interest for its applications in $O(2)$-equivariant homotopy theory and connections to Hermitian algebraic $K$-theory. …”
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Stability and distributivity over orbital [infinity]-categories/ by Nardin, Denis, Ph. D. Massachusetts Institute of Technology

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GLOBAL ACTIONS AND VECTOR $K$-THEORY by ANTHONY BAK, ANURADHA S. GARGE

“…However, equipping an algebraic object with a global action reveals holes in it and thanks to the homotopy theory of global actions, the holes can be described and quantified much as they are in the homotopy theory of topological spaces. …”
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A higher-dimensional categorical perspective on 2-crossed modules by Özel Emre, Arslan Ummahan Ege, İlker Akça İbrahim

“…According to simplicial homotopy theory, a 2-crossed module is the Moore complex of a 2-truncated simplicial group. …”
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Does Identity Make Sense? by Andrei Rodin

“…In HoTT, and in particular in DTT, identity is not just a relation but a mathematical structure which admits for an interpretation in terms of Homotopy theory (directed Homotopy theory in the case of DTT), which in its turn is supported by common intuitions concerning identity of material objects through time, change and locomotion. …”
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On the higher Frobenius by Yuan, Allen,Ph. D.Massachusetts Institute of Technology.

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Existence Suzuki Type Fixed Point Results in Ab-Metric Spaces With Application by P. Naresh, G. Upender Reddy, B. Srinuvasa Rao

“…In this paper, we give some applications to integral equations as well as homotopy theory via Suzuki contractive type common coupled fixed point results in complete Ab-metric space. …”
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Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5 by Domenico Fiorenza, Hisham Sati, Urs Schreiber

“…By combining techniques from homotopy theory and from supergeometry to what we call super-exceptional geometry within super-homotopy theory, we present an elegant joint solution to all three problems. …”
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On Cℵ-Fibrations in Bitopological Semigroups by Suliman Dawood, Adem Kılıçman

“…We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the Cℵ-fibration property. …”
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Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications by N. Mangapathi, B. Srinuvasa Rao, K.R.K. Rao, M.I. Pasha

“…Additionally, we provide examples to illustrate the findings and their applications to both homotopy theory and integral equations.…”
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Spheres over fields, their entire rational maps and applications by Marek Golasinski

“…The paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres. …”
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