Pseudocompact Topological Spaces

Pseudocompact Topological Spaces PDF Author: Michael Hrušák
Publisher: Springer
ISBN: 3319916807
Category : Mathematics
Languages : en
Pages : 309

Book Description
This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures. The collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.

Apartment Therapy's Big Book of Small, Cool Spaces

Apartment Therapy's Big Book of Small, Cool Spaces PDF Author: Maxwell Ryan
Publisher: Potter Style
ISBN: 0307985067
Category : House & Home
Languages : en
Pages : 888

Book Description
Whether you inhabit a studio or a sprawling house with one challenging space, Maxwell Gillingham-Ryan, co-founder of the most popular interior design website, Apartment Therapy, will help you transform tiny into totally fabulous. According to Maxwell, size constraints can actually unlock your design creativity and allow you to focus on what’s essential. In this vibrant book, he shares forty small, cool spaces that will change your thinking forever. These apartments and houses demonstrate hundreds of inventive solutions for creating more space in your home, and for making it more comfortable. Leading us through entrances, living rooms, kitchens and dining rooms, bedrooms, home offices, and kids’ rooms, Apartment Therapy’s Big Book of Small, Cool Spaces is brimming with ingenious tips and ideas, such as: • Shifting the sense of scale through contrasting colors • Adding airiness by using transparent collections • Utilizing the area under a loft bed for a kitchen and mini-bar • Tucking an office with chic vintage doors into an unused bedroom corner In each dwelling Maxwell points out what makes the layout work and what adds style. Most of the “therapy” involves minor tweaks that can be accomplished on a limited budget, such as dividing a room with sheer curtains, turning a door into a desk, or disguising electrical boxes with art displays. An extensive resource guide, including Maxwell’s favorite websites for buying desks, open storage solutions, and much more, will help you turn even the tiniest residence into a place you are always happy to come home to.

Weakly Compact Sets

Weakly Compact Sets PDF Author: K. Floret
Publisher: Springer
ISBN: 3540392831
Category : Mathematics
Languages : en
Pages : 131

Book Description

Small Space Style: Clever Ideas for Compact Interiors

Small Space Style: Clever Ideas for Compact Interiors PDF Author: Sara Emslie
Publisher: Ryland Peters & Small
ISBN: 1788793285
Category : Architecture
Languages : en
Pages : 456

Book Description
These days, space is a precious commodity. Small Space Style is an inspiring guide to making the most of even the tiniest home.

Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups

Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups PDF Author: Wilfried Hazod
Publisher: Springer Science & Business Media
ISBN: 940173061X
Category : Mathematics
Languages : en
Pages : 626

Book Description
Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on groups were developed during recent decades. It turns out that the existence of suitable limit distributions has a strong impact on the structure of both the normalizing automorphisms and the underlying group. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Moreover, it has been shown that (semi)-stable measures on groups have a vector space counterpart and vice versa. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.

The Prairie Gardener's Go-To for Small Spaces

The Prairie Gardener's Go-To for Small Spaces PDF Author: Janet Melrose
Publisher: TouchWood Editions
ISBN: 1771513470
Category : Gardening
Languages : en
Pages : 150

Book Description
The fourth installation of the new gardening series Guides for the Prairie Gardener will teach you how to maximize your small-space garden in the prairies. Not everyone in the prairies has a big, wide-open space in which to garden, but with a little extra know-how and some specialized techniques, you can maximize your success in the space you have. Lifelong gardeners Sheryl and Janet are here with answers to all of your big questions about small-space gardening including Which types of growing media to use in containers or raised beds How to properly fertilize and water your container plants, including grow bags and containers made from various types of materials How to get started in square foot gardening How to reap the rewards of succession planting and catch-cropping How to build raised beds, wicking beds, and sub-irrigation planters Which veggies and vines to grow vertically, what herbs and edible flowers are suitable for container growing, as well as small tree options for your tiny yard How to keep hanging baskets looking lush and full of blooms all summer. Whether you're using container gardens, raised beds, small plots, and postage-stamp sized yards, or trying your hand at vertical gardening, certified master gardeners Sheryl and Janet answer all your questions about how to do so successfully on the prairies. Small-space gardeners are a different breed and what they create can be magic!

Space

Space PDF Author: Michael Freeman
Publisher: Universe Publishing(NY)
ISBN:
Category : Architecture
Languages : en
Pages : 232

Book Description
In ultra-crowded Japan, the constraints of space and form inspire rather than confound. That is readily apparent in this fascinating volume featuring impossibly tiny, narrow, odd-shaped habitats that have been transformed into peaceful, elegant oases through the innovative use of light, openness and visual harmony.

The Structure of Compact Groups

The Structure of Compact Groups PDF Author: Karl H. Hofmann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110695995
Category : Mathematics
Languages : en
Pages : 1034

Book Description
This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.
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