Topological Complexity and LS-Category of Certain Manifolds by Fezzeh Akhtarifar, Mohammad A. Asadi-Golmankhaneh

“…The Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. …”
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Extendibility, monodromy, and local triviality for topological groupoids by Osman Mucuk, İlhan İçen

“…A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all maps of groupoid structure are continuous. …”
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The regular open-open topology for function spaces by Kathryn F. Porter

Subjects: “…compact-open topology…”
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Baire space in neutrosophic 𝛍-topological spaces by Nirmal Sarkar, Ashoke Das, Towhid Aman

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Topological Approaches for Rough Continuous Functions with Applications by A. S. Salama, A. Mhemdi, O. G. Elbarbary, T. M. Al-shami

“…We generalized rough functions to topological rough continuous functions by different topological structures. …”
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On distal and equicontinuous compact right topological groups by Paul Milnes

“…Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (λG,G) is equicontinuous. …”
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On Maximal Ideals of Compact Connected Topological Semigroups by Phoebe McLaughlin, Shing S. So, Haohao Wang

“…Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. …”
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Non-Hermitian topology and entanglement in an optomechanical superlattice by Wojciech Brzezicki, Timo Hyart, Francesco Massel

“…The interplay between topology and dissipation can give rise to a wealth of new phenomena and pave the way for novel topological lasers, sensors, and other quantum devices. …”
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Topological and variational methods of nonlinear analysis and their applications by V. G. Zvyagin, Yu. E. Gliklikh, V. V. Obukhovskii

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On lattice-topological properties of general Wallman spaces by Carmen Vlad

“…The topologies are similarly discussed for various properties such as T2 and Lindelöf.…”
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GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES by Laurentiu George Maxim

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QSPR Modeling of Fungicides Using Topological Descriptors by Saima Parveen, Fatima Saeed, Fozia Bashir Farooq, Nusrat Parveen, Nazeran Idrees, Sumiya Nasir, Rakotondrajao Fanja

“…A topological index is a real number that is obtained from a chemical graph’s structure. …”
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On the Fuzzy Number Space with the Level Convergence Topology by J. J. Font, A. Miralles, M. Sanchis

“…We characterize compact sets of 𝔼1 endowed with the level convergence topology τℓ. We also describe the completion (𝔼1̂,𝒰̂) of 𝔼1 with respect to its natural uniformity, that is, the pointwise uniformity 𝒰, and show other topological properties of 𝔼1̂, as separability. …”
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Regular-uniform convergence and the open-open topology by Kathryn F. Porter

“…We discuss the relationship between this topology and the open-open topology, which was described in 1993 by Porter, on various collections of functions.…”
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Manipulation of the magnetic monopole injection for topological transition by Hee-Sung Han, Sergio A. Montoya, Eric E. Fullerton, Weilun Chao, Soong-Geun Je, Ki‐Suk Lee, Mi-Young Im

“…A spin texture with desired topological properties can be created by magnetic monopole injection, resulting in topological transitions involving changes in the topological charge. …”
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Topologies on Superspaces of TVS-Cone Metric Spaces by Xun Ge, Shou Lin

“…The purpose of this paper is to establish some relationships between the lower topology and the lower tvs-cone hemimetric topology (resp., the upper topology and the upper tvs-cone hemimetric topology to the Vietoris topology and the Hausdorff tvs-cone hemimetric topology) on 𝒫0(X) and 𝒦0(X), which makes it possible to generalize some results of superspaces from metric spaces to tvs-cone metric spaces.…”
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Topology of Locally and Non-Locally Generalized Derivatives by Dimiter Prodanov

“…This article investigates the continuity of derivatives of real-valued functions from a topological perspective. This is achieved by the characterization of their sets of discontinuity. …”
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Semi-I-Expandable Ideal Topological Spaces by Chawalit Boonpok

“…Our purpose is to introduce the notion of semi-I-expandable ideal topological spaces. Some properties of semi-I-locally finite collections are investigated. …”
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Symmetry protected topological phases under decoherence by Jong Yeon Lee, Yi-Zhuang You, Cenke Xu

“…We investigate mixed states exhibiting nontrivial topological features, focusing on symmetry-protected topological (SPT) phases under various types of decoherence. …”
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Topological conjugacies of piecewise monotone interval maps by Nikos A. Fotiades, Moses A. Boudourides

“…Our aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. …”
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