• Study Resource
  • Explore Categories
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Orbifolds and their cohomology.
Orbifolds and their cohomology.

TOPOLOGICAL GROUPS - PART 1/3 Contents 1. Locally compact
TOPOLOGICAL GROUPS - PART 1/3 Contents 1. Locally compact

New Characterization Of Kernel Set in Topological Spaces
New Characterization Of Kernel Set in Topological Spaces

Topological properties of Banach spaces
Topological properties of Banach spaces

DG AFFINITY OF DQ-MODULES 1. Introduction Many classical
DG AFFINITY OF DQ-MODULES 1. Introduction Many classical

my solutions.
my solutions.

T(α,β)-SPACES AND THE WALLMAN COMPACTIFICATION
T(α,β)-SPACES AND THE WALLMAN COMPACTIFICATION

On m-Quasi-Irresolute Functions
On m-Quasi-Irresolute Functions

ABSOLUTE VALUES II: TOPOLOGIES, COMPLETIONS
ABSOLUTE VALUES II: TOPOLOGIES, COMPLETIONS

Some Stronger Forms of gb –continuous Functions
Some Stronger Forms of gb –continuous Functions

Probabilistic Semantics for Modal Logic
Probabilistic Semantics for Modal Logic

COARSE GEOMETRY AND K
COARSE GEOMETRY AND K

Ann. Funct. Anal. 5 (2014), no. 2, 1–29
Ann. Funct. Anal. 5 (2014), no. 2, 1–29

A May-type spectral sequence for higher topological Hochschild
A May-type spectral sequence for higher topological Hochschild

... simplicial objects in C is a Reedy cofibration between Reedy cofibrant objects whenever the following all hold: (1) Each object Xn and Yn of C is cofibrant. (2) Each degeneracy map si : Xn Ñ Xn`1 and si : Yn Ñ Yn`1 is a cofibration in C (3) Each map Xn Ñ Yn is a cofibration in C . A consequence of t ...
(A) Fuzzy Topological Spaces
(A) Fuzzy Topological Spaces

... For each positive integer i let Xi = N, the set of positive integers, let µi be the constant fuzzy set in N given by µi (x) = i−1 for x ∈ N, and let i δi = {0, µi , 1}∪{µi χ{1,2,...,n} : n ∈ N}. Here note that the function µi χ{1,2,...,n} is a product; its graph is shown in Figure 2 for the case whe ...
TOPOLOGY IN A CATEGORY: COMPACTNESS 0 – Introduction
TOPOLOGY IN A CATEGORY: COMPACTNESS 0 – Introduction

de Rham cohomology
de Rham cohomology

Resolvability of topological spaces
Resolvability of topological spaces

Introduction to Topological Spaces and Set-Valued Maps
Introduction to Topological Spaces and Set-Valued Maps

Groupoid C*-Algebras.
Groupoid C*-Algebras.

Open problems on countable dense homogeneity
Open problems on countable dense homogeneity

International Journal of Pure and Applied Mathematics
International Journal of Pure and Applied Mathematics

... that χA is the characteristic function of A, and the crisp topological space (X, [T ]) is called original topological space of (X, T ). Definition 4. (see [13]) A fuzzy topological space (X, T ) is called a week induction of the topological space (X, T0 ) if [T ] = T0 and each element of T is lower ...
General Topology
General Topology

2 - Ohio State Department of Mathematics
2 - Ohio State Department of Mathematics

(slides)
(slides)

< 1 ... 12 13 14 15 16 17 18 19 20 ... 127 >

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.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report