We prove that there exist three distinct, comprehensive classes of (formal) contexts with polynomially many concepts. Namely: contexts which are nowhere dense, of bounded breadth or highly convex. Already present in G. Birkhoff's classic monograph is the notion of breadth of a lattice; it equals the number of atoms of a largest boolean suborder. Even though it is natural to define the breadth of a context as being that of its concept lattice, this idea had not been exploited before. We do this and establish many equivalences. Amongst them, it is shown that the breadth of a context equals the size of its largest minimal generator, its largest contranominal-scale subcontext, as well as the Vapnik-Chervonenkis dimension of both its system of extents and of intents. The polynomiality of the aforementioned classes is proven via upper bounds (also known as majorants) for the number of maximal bipartite cliques in bipartite graphs. These are results obtained by various authors in the last decades. The fact that they yield statements about formal contexts is a reward for investigating how two established fields interact, specifically Formal Concept Analysis (FCA) and graph theory. We improve considerably the breadth bound. Such improvement is twofold: besides giving a much tighter expression, we prove that it limits the number of minimal generators. This is strictly more general than upper bounding the quantity of concepts. Indeed, it automatically implies a bound on these, as well as on the number of proper premises. A corollary is that this improved result is a bound for the number of implications in the canonical basis too. With respect to the quantity of concepts, this sharper majorant is shown to be best possible. Such fact is established by constructing contexts whose concept lattices exhibit exactly that many elements. These structures are termed, respectively, extremal contexts and extremal lattices. The usual procedure of taking the standard context allows one to work interchangeably with either one of these two extremal structures. Extremal lattices are equivalently defined as finite lattices which have as many elements as possible, under the condition that they obey two upper limits: one for its number of join-irreducibles, other for its breadth. Subsequently, these structures are characterized in two ways. Our first characterization is done using the lattice perspective. Initially, we construct extremal lattices by the iterated operation of finding smaller, extremal subsemilattices and duplicating their elements. Then, it is shown that every extremal lattice must be obtained through a recursive application of this construction principle. A byproduct of this contribution is that extremal lattices are always meet-distributive. Despite the fact that this approach is revealing, the vicinity of its findings contains unanswered combinatorial questions which are relevant. Most notably, the number of meet-irreducibles of extremal lattices escapes from control when this construction is conducted. Aiming to get a grip on the number of meet-irreducibles, we succeed at proving an alternative characterization of these structures. This second approach is based on implication logic, and exposes an interesting link between number of proper premises, pseudo-extents and concepts. A guiding idea in this scenario is to use implications to construct lattices. It turns out that constructing extremal structures with this method is simpler, in the sense that a recursive application of the construction principle is not needed. Moreover, we obtain with ease a general, explicit formula for the Whitney numbers of extremal lattices. This reveals that they are unimodal, too. Like the first, this second construction method is shown to be characteristic. A particular case of the construction is able to force - with precision - a high number of (in the sense of "exponentially many'') meet-irreducibles. Such occasional explosion of meet-irreducibles motivates a generalization of the notion of extremal lattices. This is done by means of considering a more refined partition of the class of all finite lattices. In this finer-grained setting, each extremal class consists of lattices with bounded breadth, number of join irreducibles and meet-irreducibles as well. The generalized problem of finding the maximum number of concepts reveals itself to be challenging. Instead of attempting to classify these structures completely, we pose questions inspired by Turán's seminal result in extremal combinatorics. Most prominently: do extremal lattices (in this more general sense) have the maximum permitted breadth? We show a general statement in this setting: for every choice of limits (breadth, number of join-irreducibles and meet-irreducibles), we produce some extremal lattice with the maximum permitted breadth. The tools which underpin all the intuitions in this scenario are hypergraphs and exact set covers. In a rather unexpected, but interesting turn of events, we obtain for free a simple and interesting theorem about the general existence of "rich'' subcontexts. Precisely: every context contains an object/attribute pair which, after removed, results in a context with at least half the original number of concepts.

Mitt syfte med projektet är att vitalisera stadsdelen Husby i nordvästra Stockholm. Bryta upp zonerade områden och addera fler och varierade funktioner som definierar nya stråk, länka samman omtyckta områden och överbrygga platser som upplevs otrygga. Sammantaget ger det förutsättningar för ett mer levande stadsliv som attraherar fler att vilja bo, bo kvar och göra bostadskarriär i Husby. Centrala begrepp i projektet är mångfald, trygghet, flexibilitet och hållbarhet. Jag har arbetat med att identifiera, bevara och utveckla kvaliteter i kombination med att öppna upp befintlig bebyggelse som präglas av upprepning, slutenhet och rationella byggmetoder samt addera ny bebyggelse för att få en större mångfald och ett mer flexibelt utbud av både lokaler, bokaler och bostäder men även genom att analysera och bearbeta områdets struktur. Fokus har legat på de trafikseparerade miljöerna och hur de kan vidareutvecklas genom att bland annat addera gångvägar och skapa nya stråk längst tillfartsgatorna och samtidigt bevara kvaliteter som de nivåseparerade korsningarna mellan gångvägarna och bilvägarna erbjuder med säker skolväg och en trygg bilfri miljö för barnen. / My purpose of this project is to revitalize the District of Husby in northwestern Stockholm. Diversify zoned areas by adding and varying functions that define new pathways, link popular areas and overcome sites experienced as insecure. Overall, it may provide the conditions for a more vibrant city life attracting more people to stay on and climb the property ladder in Husby. The key concepts of the project is diversity, security, flexibility and sustainability. I have been working on preserving and developing qualities of the area in order to change existing buildings characterised by repetition, closed facades, rational building design and construction methods to obtain a greater diversity and a more flexible range of both business premises, housing and live-in commercial properties and also by analysing and transforming the city structure. Focus has been on the traffic separation environment and how it could be further developed by adding walkways along the access roads while still preserving qualities such as a car free environment for the children living in the area.

The thesis deals with a design of a new construction of a polyfunctional urban house. It concerns a corner plot near the busy Opuštená avenue. The building is supposed to supplement the intended housing estate. Designed to be suitable for domestic, administrative and commercial use while maintaining an effective budget, the property is to provide the residents as well as the location with a high-quality space.

This thesis is an account of how a networking approach may assist participatory community development. The author undertakes naturalistic action research into how she can improve her social practice with a view to gaining equal participation amongst university and community members in a community development practicum. She describes how efforts to maximize group participation are typically countered with various forms of non-participation, analogous to a rebellion against authoritarianism. Dialogue with her doctoral peer group about tacit meanings from her personal history reveals that she is too heavily invested in community involvement. A stance of irreverence gives her the freedom to realize that her politically correct approach is conveying the message that "MY way of participation is THE way". She embarks on a networking programme of action in the hope of achieving more balanced participation. A multidisciplinary workshop and a study tour show her that openness to multiple inputs may free people from restrictive views and problematic styles of participation. She initiates the formation of a local network and finds that this is a more free-flowing structure that encourages fluid problem solving among community, government and university participants. The author's original anxieties are, however, revived when networking, too, becomes entangled in organizational complexities. She eventually realizes that she tends to base her actions on premises of power and justice and that it may be helpful to base new ventures on information flow and creativity instead. Her new approach to group facilitation elicits creative inputs from others. She finds that deliberate debate of the assumptions on which collective undertakings are based releases an awareness of alternative approaches to addressing unequal resource utilization in the commons. A review of the local Network's development over six years draws attention to networking resources, and its uses, structuring and management. The author's experiences continuously demonstrate that the assumptions of independence and freedom of choice may provide a more satisfactory basis upon which to manage community participation. / Social Work / D.Litt. et Phil. (Psychology)

This thesis is an account of how a networking approach may assist participatory community development. The author undertakes naturalistic action research into how she can improve her social practice with a view to gaining equal participation amongst university and community members in a community development practicum. She describes how efforts to maximize group participation are typically countered with various forms of non-participation, analogous to a rebellion against authoritarianism. Dialogue with her doctoral peer group about tacit meanings from her personal history reveals that she is too heavily invested in community involvement. A stance of irreverence gives her the freedom to realize that her politically correct approach is conveying the message that "MY way of participation is THE way". She embarks on a networking programme of action in the hope of achieving more balanced participation. A multidisciplinary workshop and a study tour show her that openness to multiple inputs may free people from restrictive views and problematic styles of participation. She initiates the formation of a local network and finds that this is a more free-flowing structure that encourages fluid problem solving among community, government and university participants. The author's original anxieties are, however, revived when networking, too, becomes entangled in organizational complexities. She eventually realizes that she tends to base her actions on premises of power and justice and that it may be helpful to base new ventures on information flow and creativity instead. Her new approach to group facilitation elicits creative inputs from others. She finds that deliberate debate of the assumptions on which collective undertakings are based releases an awareness of alternative approaches to addressing unequal resource utilization in the commons. A review of the local Network's development over six years draws attention to networking resources, and its uses, structuring and management. The author's experiences continuously demonstrate that the assumptions of independence and freedom of choice may provide a more satisfactory basis upon which to manage community participation. / Social Work / D.Litt. et Phil. (Psychology)

Diploma Thesis „Polyfunctional building“. The work deals implementation project of polyfunctional building in Jihlava. Object is situated on Jihlava suburb in emerging part called „Horní Kosov“. Land is gently sloping from west to east. It continues for Buková street. The building has six floors and a basement. The basement is made from monolithic reinforced concrete. It is used as garages. Floors are made of ceramic bricks with isolation . First floor contains four commercial premises and main entry for housing part. Seventeen flats are situated from second to sixth floor. Sizes of apartments are 1+kitchen corner to 4+kitchen corner with terraces and balcony. Roofing is solved with simple flat roof. Heating will be ensured with central heating. Every apartment, commercial premises, shared premises are going to have it’s own gas boiler. Polyfunctional building is connected on a local road – Buková street, which is connected to new communication. Within multifunctional building twenty parking slots is designed at the basement. Next fourteen parking slots is designed outside.