Configuration Spaces and Polyhedral Products

This paper aims to find the most general combinatorial conditions under which a moment-angle complex $(D^2,S^1)^K$ is a co-$H$-space, thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment-angle complex over a Golod simplicial complex is a co-$H$-space. Our main tool is a certain generalisation of the theory of labelled configuration spaces.Comment: Published in Advances in Mathematics, 201

The homotopy type of the polyhedral product for shifted complexes

We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices,X1,...,Xn are pointed connected CW-complexes and CXi is the cone on Xi, then the polyhedral product determined by K and the pairs (C Xi , Xi ) is homotopy equivalent to a wedge of suspensions of smashes of the Xi ’s. Earlier work of the authors dealt with the special case where each Xi is a loop space. New techniques are introduced to prove the general case. These have the advantage of simplifying the earlier results and of being sufficiently general to show that the conjecture holds for a substantially larger class of simplicial complexes. We discuss connections between polyhedral products and toric topology, combinatorics, and classical homotopy theory

LSLS-Category of Moment-Angle Manifolds, Massey Products, and a Generalization of the Golod Property

We give various bounds for the Lusternik-Schnirelmann category of moment-angle complexes and show how this relates to vanishing of Massey products in $\mathrm{Tor}^+_{R[v_1,\ldots,v_n]}(R[K],R)$. In particular, we characterise the Lusternik-Schnirelmann category of moment-angle manifolds $\mathcal{Z}_K$ over triangulated $d$-spheres $K$ for $d\leq 2$, as well as higher dimension spheres built up via connected sum, join, and vertex doubling operations. This characterisation is given in terms of the combinatorics of $K$, the cup product length of $H^*(\mathcal{Z}_K)$, as well as a certain generalisation of the Golod property. Some applications include information about the category and vanishing of Massey products for moment-angle complexes over fullerenes and $k$-neighbourly complexes.Comment: New examples adde

Applications of combinatorial groups to Hopf invariant and the exponent problem

Combinatorial groups together with the groups of natural coalgebra transformations of tensor algebras are linked to the groups of homotopy classes of maps from the James construction to a loop space. This connection gives rise to applications to homotopy theory. The Hopf invariants of the Whitehead products are studied and a rate of exponent growth for the strong version of the Barratt Conjecture is given.Comment: This is the version published by Algebraic & Geometric Topology on 29 November 200

Detainable Maritime Labour Convention 2006-related deficiencis found by Paris MoU authorities

The Maritime Labour Convention 2006 (MLC, 2006) has entered into force in August 2013. Shipowners, flag States and port State authorities have an important role in the successful implementation of the MLC, 2006. Port State control (PSC) is responsible for ensuring that ships are in compliance with the requirements of the MLC, 2006. In cases of significant non-compliance ships are detained. This paper analyses the MLC, 2006-related deficiencies that were marked as a ground for detention of ships inspected in areas under the jurisdiction of the Paris MoU in the period 20 August 2013 until 31 December 2014. 390 recorded detainable deficiencies were related to 33 items, mostly belonging to areas “Accommodation, recreational facilities, food and catering” and “Conditions of employment”. The fact that 220 ships were detained (a total of 39 based solely on the MLC, 2006-related deficiencies) in 18 port States, suggests that PSC is becoming effective in detecting unacceptable working and living conditions for seafarers on-board. Detention rates on the MLC, 2006 ground vary significantly between port States, indicating that there is a room for harmonisation of PSC procedure

Inspections on Board Oil Tankers: Present Situation and Suggestion for Improvement

Oil tanker inspections have an important role in enhancing safety and minimizing the risk of oil pollution. However, research has indicated that inspection items are overlapping among inspection regimes observed in a given time span on board oil tankers, thus making negative impact on ship safety, unnecessarily consuming shipboard human resources and having adverse economic effects. In this paper, current inspections performed on board oil tankers have been presented, including duration, intensity and average costs, directly or indirectly paid by shipowners. Our analysis of surveyed components by all regimes has showed that it is possible to reduce critical inspection parameters without compromising safety by introducing a unified inspection method. A content of such inspection, consisting of 529 components, has been presented. Performing the proposed inspection method and sharing its results among interested parties of oil tanker safety regime has been suggested as a measure that could improve oil tanker safety and pollution prevention

Biofilm forming cyanobacteria, algae and fungi on two historic monuments in Belgrade, Serbia

Biofilm on the sandstone substrata of the bridge 'Brankov most' and on the granite substrata of the 'Monument of the Unknown Hero' contains a complex consortia of cyanobacteria, algae, and fungi. Coccoid and filamentous cyanobacteria, green algae and diatoms make up the photosynthetic part of the biofilm while hyphal fragments, chlamydospores, fruiting bodies and spores take part as fungal components. These structures make a dense layer by intertwining and overlapping the stone surface. Five cyanobacterial, 11 algal and 23 fungal taxa were found. The interaction of the biofilm's constituents results in the bioweathering of the stone substrata through mechanical penetration, acid corrosion and the production of secondary mycogenic biominerals.