Este trabalho é dividido em duas partes: Na primeira, apresentaremos três axiomas extras a ZFC referentes a ordens parciais, sendo eles: o Axioma de Martin (MA), o princípio diamante (\\diamond}) e a hipótese de Suslin (SH). Na segunda parte daremos algumas aplicações desses axiomas em teoria de conjuntos e em topologia geral. Começaremos falando sobre famílias dominantes e ilimitadas e observando que certas relações entre tais conceitos se diferem ao assumirmos apenas ZFC ou MA. Provaremos a independência da hipótese de Suslin, usando a independência de MA e de \\diamond. Apresentaremos três jogos topológicos: sendo eles o jogo de Choquet, o jogo de Rothberger e o jogo de Menger. O ganho na linguagem de jogos é deixar algo complicado com uma formulação mais simples. Analisaremos o produto de espaços que satisfazer a c.c.c. (countable chain condition) novamente sob a luz de ZFC ou MA. Construiremos um espaço compacto e Hausdor onde o conjunto dos naturais é denso e além disso, para toda função contínua com domínio N à valores num compacto, tal função admite uma extensão contínua para esse espaço. Finalmente, veremos quais condições um espaço precisa satisfazer para ser de Blumberg e uma tentativa de caracterizar tais espaços via jogos topológicos / This work is divided in two parts: At rst, we introduce three extra axioms to ZFC related to partial orders, namely: the Martin Axiom (MA), the Diamond Principle (\\diamond}) and the Suslin hypothesis (SH). In the second part we give some applications of these axioms in set theory and general topology. We start talking about dominant and unbounded families and that certain relations between these concepts dier if we assume only ZFC or MA. We prove the independence of Suslin hypothesis using the independece of MA and \\diamond. We present three topological games, the Choquet game, the Rothberger game and the Menger game. The gain in the games language is to say something dicult with a simpler formulation. We analyze the product of spaces c.c.c. (countable chain condition) under ZFC or MA. We construct a compact Hausdor space where the natural numbers are dense and, moreover, for any continuous function with domain N to a compact space, such a function admits a continuous extension. Finally, we will see what conditions a space has to satisfy to be Blumberg and, an attempt to characterize spaces via topological games

Este trabalho é dividido em duas partes: Na primeira, apresentaremos três axiomas extras a ZFC referentes a ordens parciais, sendo eles: o Axioma de Martin (MA), o princípio diamante (\\diamond}) e a hipótese de Suslin (SH). Na segunda parte daremos algumas aplicações desses axiomas em teoria de conjuntos e em topologia geral. Começaremos falando sobre famílias dominantes e ilimitadas e observando que certas relações entre tais conceitos se diferem ao assumirmos apenas ZFC ou MA. Provaremos a independência da hipótese de Suslin, usando a independência de MA e de \\diamond. Apresentaremos três jogos topológicos: sendo eles o jogo de Choquet, o jogo de Rothberger e o jogo de Menger. O ganho na linguagem de jogos é deixar algo complicado com uma formulação mais simples. Analisaremos o produto de espaços que satisfazer a c.c.c. (countable chain condition) novamente sob a luz de ZFC ou MA. Construiremos um espaço compacto e Hausdor onde o conjunto dos naturais é denso e além disso, para toda função contínua com domínio N à valores num compacto, tal função admite uma extensão contínua para esse espaço. Finalmente, veremos quais condições um espaço precisa satisfazer para ser de Blumberg e uma tentativa de caracterizar tais espaços via jogos topológicos / This work is divided in two parts: At rst, we introduce three extra axioms to ZFC related to partial orders, namely: the Martin Axiom (MA), the Diamond Principle (\\diamond}) and the Suslin hypothesis (SH). In the second part we give some applications of these axioms in set theory and general topology. We start talking about dominant and unbounded families and that certain relations between these concepts dier if we assume only ZFC or MA. We prove the independence of Suslin hypothesis using the independece of MA and \\diamond. We present three topological games, the Choquet game, the Rothberger game and the Menger game. The gain in the games language is to say something dicult with a simpler formulation. We analyze the product of spaces c.c.c. (countable chain condition) under ZFC or MA. We construct a compact Hausdor space where the natural numbers are dense and, moreover, for any continuous function with domain N to a compact space, such a function admits a continuous extension. Finally, we will see what conditions a space has to satisfy to be Blumberg and, an attempt to characterize spaces via topological games

In this thesis I explore the ways in which my artistic, political, and personal values led me to propose Naomi Wallace’s THE TRESTLE AT POPE LICK CREEK as my thesis in order to both reflect and enact what I believe in and also to respond to the dearth of those principles within the Theater Department. I address how those same ethics subsequently informed every facet of my direction of and programming around the play. Through the dual lenses of activating my values and my technical growth as a director, I analyze the “what” and “how” of my work on TRESTLE, the “what” being the artistic substance of what I was aiming to create and the “how” being my methods of engaging in the work. Ultimately, I assess the major takeaways from my experiences in Temple’s MFA program in Theater Directing overall, highlighting the major lessons I will take with me into my career. / Theater

Experimental data are presented for the first time in support of a theoretical model of band broadening proposed by Blumberg (1997). This model addresses the effects of the compressibility of the mobile phase in gas chromatography and presents an equation derived from only two mutually independent variables. Solutions of decane and tridecane in hexane were analyzed at pressures ranging from 15 to 150 psi. Six different columns were used that varied in length, internal diameter and film thickness. Theoretical plate heights were obtained from this data and plotted versus the average linear carrier gas velocity (Golay type plots). These plots showed that at high pressures the Blumberg model fit the experimental data statistically significantly better than the earlier model proposed by Golay. The Blumberg model also accurately predicts the relationship between the optimum linear carrier gas velocity and the temperature. The second part of this work explores the scope and limitations of fast temperature programming in the fast GC analyses of various sample types. These samples included polycyclic aromatic hydrocarbons (PAHs), hydrocarbons and food samples. Programming rates of up to 1200° C/min were used. These fast programming rates were obtained by using "flash"â ¢ temperature programming, controlled by resistive heating of a metal tube that enclosed a capillary column. The precision of peak data was found to be good, less than 5% for peak areas and 4% for retention times. However, a slight, but statistically significant decrease in peak areas was seen above programming rates of 240° C/min. Microwave assisted extraction (MAE) was used to extract 2,6-di-(tert-butyl)-4-methylphenol, BHT, from chewing gum and breakfast cereal. The extraction was followed by a fast GC analysis (less than 4 minutes) using "flash"â ¢ temperature programming. MAE reduced the sample preparation time, from hours to minutes, and consequently reduced, the total analysis time. Extraction times longer than 5 minutes gave decreased recoveries of BHT. / Ph. D.