We continue the investigation of spaces whose topology is definable in the sense of descriptive set theory. We prove a general combinatorial principle we call the Definable Ideal Dichotomy. This principle is then applied to classify convergence in the class of definable countable groups and to prove other results of topological and set-theoretic nature. In the last section, we build limiting examples of interesting definable groups and spaces.

Over the history of Maya studies, archaeologists have proposed various models for the structure of Maya settlements and their use of the landscape. The introduction of lidar to Maya studies, and the wealth of data this technology yielded, has many of these ideas coming under renewed study. Some of the most prominent models discussed in the last two decades have centered on low-density agrarian urbanism and forest gardens. Using settlement studies, lidar data, and hydrological analysis, this article discusses the applicability of these models for the ancient Maya at Lamanai and Ka’kabish, and more generally, Northern Belize. The Maya in the periphery at Lamanai developed wetland management strategies by capitalizing on natural drainage next to seasonally inundated swamps, or bajos. Evidence suggests that the Maya sustained large populations by using channels at the edge of bajos for field systems. These systems may be key to understanding their sustainability in the past.

We show that there are locally compact spaces that can be condensed on separable spaces, but not on compact separable spaces. We also show that for every cardinal $\kappa ,$ there is a locally compact topological group of cardinality $2^\kappa $ that can be condensed on a compact space but not on a compact topological group. These answer some questions of Arhangel’skii and Buzyakova.

In the present article, we study the norms for symmetric and antisymmetric tensor products of weighted shift operators. By proving that for $n\geq 2$,

$$ \begin{align*}\|S_{\alpha}^{l_1}\odot\cdots \odot S_{\alpha}^{l_k}\odot S_{\alpha}^{*l_{k+1}}\odot\cdots \odot S_{\alpha}^{*l_{n}}\| =\mathop{\prod}_{i=1}^n\left \| S_{\alpha}^{{l_{i}}}\right\|, \text{ for any} \ (l_1,l_2\ldots l_n)\in\mathbb N^n\end{align*} $$

This paper builds on research conducted in 2008 by Wright into the uneasy power dynamics between a music teacher and her pupils in a secondary school music classroom in Wales as a result of her Western Classical ‘habitus’; by this, we mean the habitual behaviours, attitudes and values that are commonplace when operating as a classical musician. Some 18 years on, and in a transformative Welsh education climate, narrative data collected from pre-service teachers practising in similar classrooms in Wales suggest that they have begun to move away from their Western European classical ‘habitus’ and believe in shared pedagogic ownership that takes account of pupil voice and choice. Furthermore, in learning to teach, they develop pedagogic behaviours more akin to popular musicians, such as being more improvisatory and more willing to tolerate uncertainty. A key factor is the trusting and collaborative relationships they developed with their mentors (teacher-tutors) within an education system in Wales that has committed itself to the concept of subsidiarity. These findings mark a positive step forward for the music education community within a new and aspirational educational landscape in Wales.

This article explores violent extremism (VE) through an embodied, bottom-up lens, using body-mapping with Muslim women in Kenya. Drawing on two selected body maps, we critically interrogate the use of VE is as a framework for analysing the harm experienced by women. Our participants used the terminology of VE to refer to not only Al-Shabaab–related violence but also gender-based violence, gang violence, and state violence. These insights highlight a key tension in critical scholarship on VE: while often critiqued from a distance, VE is actively reappropriated by those most affected. We argue that, as a community disproportionately targeted by countering violent extremism (CVE) initiatives, our participants employed the language of VE as a form of adaptive resistance – challenging both the violent policing of CVE and the patriarchal violence embedded in their daily lives. This article contributes to feminist decolonial critiques of VE by centring the voices of those most impacted, and by questioning critiques that overlook lived experiences. Additionally, by sharing our arts-based methodology, we contribute to emerging literature on decolonial research practices. Finally, we raise critical questions about the intersections of gender-based violence, gang violence, state violence, and VE in Kenya and beyond.

When a country sees multiple mass mobilisations over time, what accounts for variation in where protest occurs across the different protest waves? This article examines the case of mass protests in Ukraine 1990-2004, exploring how the emergence and development of activist networks aligns with changes in the geospatial dispersion of protest over time. It draws on archives and interviews with activists made available by The Three Revolutions Project, and newspaper reports from Ukrainska Pravda, Korrespondent.net and Radio Svoboda, utilising protest event analysis, along with QGIS software to visually represent findings. The article presents novel empirical findings on the geospatial scope of protest events across Ukraine from 1990 onwards, and demonstrates some of the ways in which regional activist networks expanded, developed, and sought cross-cleavage collaboration, aiming to facilitate increasing nationwide mobilisation. It provides valuable context for understanding subsequent Ukrainian mobilisation, such as the 2013-14 Euromaidan protest, and ongoing resistance to Russia’s full-scale invasion.

Pulmonary arterial hypertension leads to dyspnoea, fatigue, and oxygen desaturation, limiting activities of daily living and functional capacity. This study aimed to evaluate the impact of pulmonary arterial hypertension on activities of daily living performance, functional capacity, peripheral muscle strength, oxygen dynamics, and energy expenditure. Eighteen adolescents and young adults with pulmonary arterial hypertension (10 females, 8 males; age 9–30 years) and 15 healthy controls (10 males, 5 females; age 9–30 years) were included. Peripheral muscle strength was assessed using a handheld dynamometer, functional capacity via the 6-minute walk test, and muscle oxygenation through near-infrared spectroscopy. Lower-limb endurance was evaluated with the 1-minute sit-to-stand test and activities of daily living performance with the Glittre Activities of Daily Living test. Compared to controls, the pulmonary arterial hypertension group had significantly lower 6-minute walk test distance (441.9 m versus 636.9 m; p < 0.001), reduced sit-to-stand repetitions (28 versus 42.1; p < 0.001), weaker peripheral strength, and lower minimum muscle oxygen saturation (24.9% versus 51.8%; p < 0.001). Glittre Activities of Daily Living test duration was longer (143 s versus 105 s; p < 0.001), with greater oxygen desaturation (−13% versus −1%; p < 0.001), higher dyspnoea scores using modified Borg scale (5 versus 1; p < 0.001), and blunted heart rate response (ΔHR [change in heart rate]: 32 versus 64; p = 0.011). These findings demonstrate that pulmonary arterial hypertension significantly impairs both cardiopulmonary and peripheral muscle function. Protecting muscle health and improving functional capacity should be prioritised to enhance quality of life in this population.