Bernardo Villarreal
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View article: Topological components of spaces of commuting elements in connected nilpotent Lie groups
Topological components of spaces of commuting elements in connected nilpotent Lie groups Open
We study the homotopy type of spaces of commuting elements in connected nilpotent Lie groups, via almost commuting elements in their Lie algebras. We give a necessary and sufficient condition on the fundamental group of such a Lie group $G…
View article: On the commutator length of compact Lie groups
On the commutator length of compact Lie groups Open
In this short note we show that the path-connected component of the identity of the derived subgroup of a compact Lie group consists just of commutators. We also discuss an application of our main result to the homotopy type of the classif…
View article: On the second homotopy group of the classifying space for commutativity in Lie groups
On the second homotopy group of the classifying space for commutativity in Lie groups Open
In this note we show that the second homotopy group of $B(2,G)$, the classifying space for commutativity for a compact Lie group $G$, contains a direct summand isomorphic to $π_1(G)\oplusπ_1([G,G])$, where $[G,G]$ is the commutator subgrou…
View article: Proceedings of the International Conference on Industrial Engineering and Operations Management
Proceedings of the International Conference on Industrial Engineering and Operations Management Open
The purpose of this work is to apply a strategy for reducing the inventory replenishment cycle time for a Mexican Convenience Store Supply Chain.This strategy is structured with the aim of reducing the store inventory level from about 30 d…
View article: OEE Approach in Increasing Plant Productivity
OEE Approach in Increasing Plant Productivity Open
This is the case for one of the leading conglomerates based in Spain where an unfortunate event at the group´s largest frank production plant was unable to continue working, the company adopted a sense of urgency to achieve customer demand…
View article: HIGHER GENERATION BY ABELIAN SUBGROUPS IN LIE GROUPS
HIGHER GENERATION BY ABELIAN SUBGROUPS IN LIE GROUPS Open
View article: On families of nilpotent subgroups and associated coset posets
On families of nilpotent subgroups and associated coset posets Open
We study some properties of the coset poset associated with the family of subgroups of class $\leq 2$ of a nilpotent group of class $\leq 3$. We prove that under certain assumptions on the group the coset poset is simply-connected if and o…
View article: A Lean Approach for Reducing Inventory for a Mexican Convenience Store Network
A Lean Approach for Reducing Inventory for a Mexican Convenience Store Network Open
The Lean Manufacturing approach for waste elimination can be applied in all sorts of operations.In this work this approach is adapted and applied for the reduction of inventory in the network of convenience stores of the leading Mexican co…
View article: Deploying Kaizen events in the manufacturing industry: an investigation into managerial factors
Deploying Kaizen events in the manufacturing industry: an investigation into managerial factors Open
Despite the extensive research on Continuous Improvement (CI), limited reflection has been reported regarding the managerial factors needed to successfully deploy Kaizen Events (KEs). This study investigates various managerial aspects that…
View article: A Second-Year Project-based Course for Embedded Systems
A Second-Year Project-based Course for Embedded Systems Open
A project-based course commonly requires that students solve problems based on knowledge and skills acquired from previous course work. However, even during the early years of study, students can develop a better intellectual independence …
View article: Commutative cocycles and stable bundles over surfaces
Commutative cocycles and stable bundles over surfaces Open
Commutative K -theory, a cohomology theory built from spaces of commuting matrices, has been explored in recent work of Adem, Gómez, Gritschacher, Lind and Tillman. In this article, we use unstable methods to construct explicit representat…
View article: The Complex of Affinely Commutative Sets
The Complex of Affinely Commutative Sets Open
We show that for some classes of groups $G$, the homotopy fiber $E_{\mathrm{com}} G$ of the inclusion of the classifying space for commutativity $E_{\mathrm{com}} G$ into the classifying space $BG$, is contractible if and only if $G$ is ab…
View article: Haptically assisted chemotaxis for odor source localization
Haptically assisted chemotaxis for odor source localization Open
View article: Improve an emergency medical system capacity with theory of constraints.
Improve an emergency medical system capacity with theory of constraints. Open
The measure of ambulance cycle time is of particular interest in the performance of Emergency Medical Systems (EMS). Its value determines the ambulance capacity of the operations system of an EMS institution. For a given number of ambulanc…
View article: Reduce turnaround time through waste elimination.
Reduce turnaround time through waste elimination. Open
According to the NHS Confederation (2012), “It’s not good to be a patient stuck on an ambulance trolley in a corridor, but the patients at risk are the road traffic accidents or heart attacks still waiting for the ambulance service to resp…
View article: Lean emergency medical operations
Lean emergency medical operations Open
The fundamental responsibilities of Emergency Medical Service (EMS) systems are to provide urgent medical care, such as pre-hospital care, and to transport the patient to the hospital if needed. The agility and efficiency of EMS systems ar…
View article: Improving Road Transport Operations using Lean Thinking
Improving Road Transport Operations using Lean Thinking Open
This paper documents a case study where the transport operations of a word leading provider of paper-based packaging solutions operating in Bogota, Colombia, were measured and improved using lean concepts, methods and tools. The methodolog…
View article: Nilpotent $n$-tuples in $SU(2)$
Nilpotent $n$-tuples in $SU(2)$ Open
We describe the connected components of the space $\text{Hom}(Γ,SU(2))$ of homomorphisms for a discrete nilpotent group $Γ$. The connected components arising from homomorphisms with non-abelian image turn out to be homeomorphic to $\mathbb…