Problem set 1: Answers
Problem set 1: Answers

MANIFOLDS, COHOMOLOGY, AND SHEAVES
MANIFOLDS, COHOMOLOGY, AND SHEAVES

Geometry Concepts THEOREMS
Geometry Concepts THEOREMS

chapter 2 - Telluride Middle/High School
chapter 2 - Telluride Middle/High School

4 Countability axioms
4 Countability axioms

On c*-Compact Spaces
On c*-Compact Spaces

... 6. T. Noiri, On s-closed subspaces, Acd. Naz. Del. Linei, viii(lxiv) (1978), 157162. ...
Some more recent results concerning weak Asplund spaces
Some more recent results concerning weak Asplund spaces

Nano PS -Open Sets and Nano PS -Continuity
Nano PS -Open Sets and Nano PS -Continuity

Midterm for MATH 5345H: Introduction to Topology October 14, 2013
Midterm for MATH 5345H: Introduction to Topology October 14, 2013

Some Faintly Continuous Functions on Generalized Topology
Some Faintly Continuous Functions on Generalized Topology

Superatomic Boolean algebras - Mathematical Sciences Publishers
Superatomic Boolean algebras - Mathematical Sciences Publishers

arXiv:math/0201251v1 [math.DS] 25 Jan 2002
arXiv:math/0201251v1 [math.DS] 25 Jan 2002

ON θ-GENERALIZED CLOSED SETS
ON θ-GENERALIZED CLOSED SETS

MORE ON MAXIMAL, MINIMAL OPEN AND CLOSED SETS 1
MORE ON MAXIMAL, MINIMAL OPEN AND CLOSED SETS 1

Analytic Baire spaces - Department of Mathematics
Analytic Baire spaces - Department of Mathematics

Chapter 5 Countability and Separation Axioms
Chapter 5 Countability and Separation Axioms

Lecture notes for topology
Lecture notes for topology

Geo 2.1 Using Inductive Reasoning to Make Conjectures
Geo 2.1 Using Inductive Reasoning to Make Conjectures

Inductive reasoning
Inductive reasoning

Some Generalized Forms of Compactness
Some Generalized Forms of Compactness

Lecture notes
Lecture notes

On Kolmogorov Topological Spaces 1
On Kolmogorov Topological Spaces 1

Full paper - New Zealand Journal of Mathematics
Full paper - New Zealand Journal of Mathematics

DIRECT LIMITS, INVERSE LIMITS, AND PROFINITE GROUPS The
DIRECT LIMITS, INVERSE LIMITS, AND PROFINITE GROUPS The

Graph Topologies and Uniform Convergence in Quasi
Graph Topologies and Uniform Convergence in Quasi

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.