no relation to rigidity.Indeed, the well known Cantor
no relation to rigidity.Indeed, the well known Cantor

Non-Associative Local Lie Groups
Non-Associative Local Lie Groups

Set Topology-MTH251-Lecture notes-11
Set Topology-MTH251-Lecture notes-11

Moduli Problems for Ring Spectra - International Mathematical Union
Moduli Problems for Ring Spectra - International Mathematical Union

Embedding Locally Compact Semigroups into Groups
Embedding Locally Compact Semigroups into Groups

TOPOLOGICAL GROUPS The purpose of these notes
TOPOLOGICAL GROUPS The purpose of these notes

ON NEARLY PARACOMPACT SPACES 0. Introduction
ON NEARLY PARACOMPACT SPACES 0. Introduction

maximal compact normal subgroups and pro-lie groups
maximal compact normal subgroups and pro-lie groups

KMS states on self-similar groupoid actions
KMS states on self-similar groupoid actions

(pdf)
(pdf)

Note on the Tychonoff theorem and the axiom of choice.
Note on the Tychonoff theorem and the axiom of choice.

The Baire Category Theorem
The Baire Category Theorem

Stratified fibre bundles
Stratified fibre bundles

... F-bundles. (4.5) Example. By comparing definition (4.4) and definition (3.2) it is easy to see that a F-complex with the skeletal filtration is a F-stratified bundle since the spaces (V × Dn , V × S n−1 ) are trivial F-bundles over the CW-pair (Dn , S n−1 ). Moreover, if X is a F-stratified bundle s ...
PDF
PDF

INTERSECTION OF SETS WITH n
INTERSECTION OF SETS WITH n

Note on new Classes of Separation axioms
Note on new Classes of Separation axioms

The greatest splitting topology and semiregularity
The greatest splitting topology and semiregularity

Strong completeness properties in topology
Strong completeness properties in topology

ON θ-PRECONTINUOUS FUNCTIONS
ON θ-PRECONTINUOUS FUNCTIONS

... of precontinuity. Popa and Noiri [23] introduced weak precontinuity and showed that almost weak continuity is equivalent to weak precontinuity. Paul and Bhattacharyya [21] called weakly precontinuous functions quasi precontinuous and obtained the further properties of quasi precontinuity. Recently, ...
The congruence subgroup problem
The congruence subgroup problem

11.
11.

Some results on the existence of division algebras over R
Some results on the existence of division algebras over R

SPECIAL PAIRS AND AUTOMORPHISMS OF CENTRELESS
SPECIAL PAIRS AND AUTOMORPHISMS OF CENTRELESS

Equivariant asymptotic dimension, Damian Sawicki, praca magisterska
Equivariant asymptotic dimension, Damian Sawicki, praca magisterska

Adjunctions, the Stone-ˇCech compactification, the compact
Adjunctions, the Stone-ˇCech compactification, the compact

Fundamental group

In the mathematics of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a topological invariant: homeomorphic topological spaces have the same fundamental group.Fundamental groups can be studied using the theory of covering spaces, since a fundamental group coincides with the group of deck transformations of the associated universal covering space. The abelianization of the fundamental group can be identified with the first homology group of the space. When the topological space is homeomorphic to a simplicial complex, its fundamental group can be described explicitly in terms of generators and relations.Henri Poincaré defined the fundamental group in 1895 in his paper ""Analysis situs"". The concept emerged in the theory of Riemann surfaces, in the work of Bernhard Riemann, Poincaré, and Felix Klein. It describes the monodromy properties of complex-valued functions, as well as providing a complete topological classification of closed surfaces.