Ebook: Geometric Methods in Degree Theory for Equivariant Maps

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations.
The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory.

---

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations.
The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory.

---

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations.
The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory.
Content:
Front Matter....Pages -
Introduction....Pages 1-12
Fundamental domains and extension of equivariant maps....Pages 13-30
Degree theory for equivariant maps of finite-dimensional manifolds: Topological actions....Pages 31-42
Degree theory for equivariant maps of finite-dimensional manifolds: Smooth actions....Pages 43-73
A winding number of equivariant vector fields in infinite dimensional banach spaces....Pages 74-85
Some applications....Pages 86-125
Back Matter....Pages -

---

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations.
The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory.
Content:
Front Matter....Pages -
Introduction....Pages 1-12
Fundamental domains and extension of equivariant maps....Pages 13-30
Degree theory for equivariant maps of finite-dimensional manifolds: Topological actions....Pages 31-42
Degree theory for equivariant maps of finite-dimensional manifolds: Smooth actions....Pages 43-73
A winding number of equivariant vector fields in infinite dimensional banach spaces....Pages 74-85
Some applications....Pages 86-125
Back Matter....Pages -
....