Non-Euclidean Geometry Unit
Non-Euclidean Geometry Unit

... along them. Therefore, lines in spherical geometry are Great Circles. A Great Circle is the largest circle that can be drawn on a sphere. The longitude lines and the equator are Great Circles of the Earth. Latitude lines, except for the equator, are not Great Circles. Great Circles are lines that di ...
1 The fundamental group of a topological space
1 The fundamental group of a topological space

Ordered separation axioms and the Wallman ordered
Ordered separation axioms and the Wallman ordered

Topology I - Exercises and Solutions
Topology I - Exercises and Solutions

IV.2 Basic topological properties
IV.2 Basic topological properties

More on Neutral Geometry I (Including Section 3.3) ( "NIB" means
More on Neutral Geometry I (Including Section 3.3) ( "NIB" means

... Theorem 3.3.3 (Angle-Angle-Side Congruence Condition): If, in two triangles, the vertices of one triangle can be put into one-to-one correspondence with the vertices of the other triangle such that: Two angles and the side opposite one of them in one triangle are congruent to the corresponding angle ...
Convexity conditions for non-locally convex lattices
Convexity conditions for non-locally convex lattices

Topology Proceedings - topo.auburn.edu
Topology Proceedings - topo.auburn.edu

On M1- and M3-properties in the setting of ordered topological spaces
On M1- and M3-properties in the setting of ordered topological spaces

4.4 Proving Triangles are Congruent: ASA and AAS
4.4 Proving Triangles are Congruent: ASA and AAS

Chapter 4 Compact Topological Spaces
Chapter 4 Compact Topological Spaces

Compact operators on Banach spaces
Compact operators on Banach spaces

degree theory - Project Euclid
degree theory - Project Euclid

A Crash Course in Topological Groups
A Crash Course in Topological Groups

Bc-Open Sets in Topological Spaces
Bc-Open Sets in Topological Spaces

A geometric proof of the Berger Holonomy Theorem
A geometric proof of the Berger Holonomy Theorem

topological closure of translation invariant preorders
topological closure of translation invariant preorders

LECTURE NOTES IN TOPOLOGICAL GROUPS 1
LECTURE NOTES IN TOPOLOGICAL GROUPS 1

Separation axioms in topology. - ScholarWorks @ UMT
Separation axioms in topology. - ScholarWorks @ UMT

ISOMETRIES BETWEEN OPEN SETS OF CARNOT GROUPS AND
ISOMETRIES BETWEEN OPEN SETS OF CARNOT GROUPS AND

Rz-SUPERCONTINUOUS FUNCTIONS 1. Introduction Strong forms
Rz-SUPERCONTINUOUS FUNCTIONS 1. Introduction Strong forms

Hyperbolic Geometry Lecture 2
Hyperbolic Geometry Lecture 2

Space of Baire functions. I
Space of Baire functions. I

RHOMBUS
RHOMBUS

M2PM5 METRIC SPACES AND TOPOLOGY SPRING 2016 Exercise
M2PM5 METRIC SPACES AND TOPOLOGY SPRING 2016 Exercise

3-manifold



In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. Intuitively, a 3-manifold can be thought of as a possible shape of the universe. Just like a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. This is made more precise in the definition below.