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James Munkres Topology 2nd Edition
29 January 2012

James Munkres Topology 2nd Edition

James Munkres Topology 2nd Edition
2000 | ISBN: 0131816292 | English | PDF | 537 pages | 17.44 Mb

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
Digital Tutors - Topology Tools in ZBrush
10 December 2012

Digital Tutors - Topology Tools in ZBrush
Digital Tutors - Topology Tools in ZBrush
English | h264 1280x720 15 fps | AAC 188 Kbps 44.1 KHz | 1.73 GB
Genre: eLearning

In this series of tutorials, we will discuss the various topology functions in ZBrush and how they can be used in your projects.

The topology, or edge flow, of our polygon meshes is important as we create our projects in ZBrush. Good topology can mean fewer overall polygons are needed to reflect the detail we want. Good edge flow is also important when creating final meshes that require animation. ZBrush provides a number of great tools that allow artists to customize the topology of their meshes- tools like the Topology Brush and QRemesher. ZBrush's topology tools can also be used to selective replace local areas with new topology and to create entirely new meshes for things like masks, hoods, capes, or other accessories. This course goes over the different Topology creation options in ZBrush and talks about some of the advantages and disadvantages of each. In the end you'll be able to decide which methods you like the best when modifying the topology of your own ZBrush projects.
A Textbook of Topology and Topology of 3-dimensional Fibered Spaces
25 May 2011

A Textbook of Topology and Topology of 3-dimensional Fibered Spaces

A Textbook of Topology and Topology of 3-dimensional Fibered Spaces

1980 | 453 | ISBN: 0126348502 | DJVU | 3 Mb

The first German edition of Seifert and Threlfall's "Lehrbuch der Topologie" was published in 1934. The book very quickly became the leading introductory textbook for students of geometric-algebraic topology (as distinguished from point set or "general" topology), a position which it held for possibly 30 to 35 years, during which time it was translated into Russian, Chinese, and Spanish. An English language edition is, then, long overdue. The translation presented here is due to Michael A. Goldman. This volume contains, in addition to Seifert and Threlfall's book, a translation into English, by Wolfgang Heil, of Seifert's foundational research paper "The topology of 3-dimensional fibered spaces". The manuscript treats a simple and beautiful question: what kinds of 3-dimensional manifolds can be made up as unions of disjoint circles, put together nicely? ...
Topology: General and Algebraic Topology and Applications
3 August 2013

Topology: General and Algebraic Topology and Applications
Topology: General and Algebraic Topology and Applications
Sðringår-Verlag | 1984 | ISBN: 0387133372 3540133372 9783540133377 | 413 pages | djvu | 11 MB

The papers in this issue reflect advances in topology and applications and to stimulate discussions for new directions and for future research. All main branches of topology were represented ranging from the most abstract branches of set-theoretical topology to the applications of geometrical ideas in theoretical physics.
Digital-Tutors - Modeler's Toolbox: Topology Tips
9 November 2011

Digital-Tutors - Modeler's Toolbox: Topology Tips

Digital-Tutors - Modeler's Toolbox: Topology Tips
1h 04m | Video: VP6 (.flv) 1280x720 | Audio: MP3 44.1KHz mono | 464MB
Genre: eLearning | Language: English | Level: Beginner

In this tutorial, we'll cover a series of lessons to discuss some of the issues we face when dealing with the topology of our models. The topology or edge flow of our models is an important consideration for many reasons. Over the course of the these lessons, we'll look at how topology can affect the shape of our models. We'll looks at ways of finding and cleaning up n-gons and triangles. We'll also talk about how the topology affects smoothing and edges of our models, and how much animation and deformation depends on good topology. Many of the lessons in this tutorial were created to address specific issues students have had in dealing with the topology of their models, so hopefully you'll be able to pick up a few tips to add to your Modeler's Toolbox.
Selected Applications of Geometry to Low-Dimensional Topology
25 February 2011

Selected Applications of Geometry to Low-Dimensional Topology

Selected Applications of Geometry to Low-Dimensional Topology

1989 | 79 | ISBN: 0821870009 | DJVU | 1 Mb

This book, the inaugural volume in the University Lecture Series, is based on lectures presented at Pennsylvania State University in February 1987. The lectures attempt to give a taste of the accomplishments of manifold topology over the last 30 years. By the late 1950s, algebra and topology had produced a successful and beautiful fusion. Geometric methods and insight, now vitally important in topology, encompass analytic objects such as instantons and minimal surfaces, as well as nondifferentiable constructions. Keeping technical details to a minimum, the authors lead the reader on a fascinating exploration of several developments in geometric topology. They begin with the notions of manifold and smooth structures and the Gauss-Bonnet theorem, and proceed to the topology and geometry of foliated 3-manifolds. They also explain, in terms of general position, why four-dimensional space has special attributes, and they examine the insight Donaldson theory brings. The book ends with a chapter on exotic structures on $\mathbf R^4$, with a discussion of the two competing theories of four-dimensional manifolds, one topological and one smooth. Background material was added to clarify the discussions in the lectures, and references for more detailed study are included. Suitable for graduate students and researchers in mathematics and the physical sciences, the book requires only background in undergraduate mathematics. It should prove valuable for those wishing a not-too-technical introduction to this vital area of current research. ...
Digital-tutors Topology Tools in ZBrush
4 September 2012

Digital-tutors Topology Tools in ZBrush

Digital-tutors Topology Tools in ZBrush
Run Time: 1h 6m | 465MB | Project Files: 1.27GB | Release Date: September 1, 2012 | Author: Justin Marshall | Required Software: ZBrush 4R4
Genre: Video Training


In this series of tutorials, we will discuss the various topology functions in ZBrush and how they can be used in your projects. The topology, or edge flow, of our polygon meshes is important as we create our projects in ZBrush. Good topology can mean fewer overall polygons are needed to reflect the detail we want. Good edge flow is also important when creating final meshes that require animation. ZBrush provides a number of great tools that allow artists to customize the topology of their meshes- tools like the Topology Brush and QRemesher.
Digital-tutors Topology Tools in ZBrush
16 October 2012

Digital-tutors Topology Tools in ZBrush

Digital-tutors Topology Tools in ZBrush
English | Run Time: 1h 6m | 465MB | Project Files: 1.27GB | Release Date: September 1, 2012 | Author: Justin Marshall | Required Software: ZBrush 4R4

In this series of tutorials, we will discuss the various topology functions in ZBrush and how they can be used in your projects. The topology, or edge flow, of our polygon meshes is important as we create our projects in ZBrush. Good topology can mean fewer overall polygons are needed to reflect the detail we want. Good edge flow is also important when creating final meshes that require animation. ZBrush provides a number of great tools that allow artists to customize the topology of their meshes- tools like the Topology Brush and QRemesher.
Topology, Second Edition
2 August 2010

Topology, Second Edition
Topology, Second Edition
2007 | 537 pages | ISBN:0131816292 | PDF | 8 Mb

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms.
Topology: Point-Set and Geometric
3 August 2010

Topology: Point-Set and Geometric
Topology: Point-Set and Geometric
2007 | 296 pages | ISBN:0470096055 | PDF | 8 Mb

Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.