Sentences with COHOMOLOGIES
Check out our example sentences below to help you understand the context.Sentences
1
"The cohomologies can be classified into several types."
2
"Studying the cohomologies of different spaces can reveal important topological features."
3
"The cohomologies of the manifold were computed using algebraic techniques."
4
"Understanding the cohomologies of a complex structure is crucial in certain branches of mathematics."
5
"The cohomologies of the two spaces are isomorphic."
6
"The cohomologies of the torus have been extensively studied."
7
"Calculating cohomologies can be a challenging task."
8
"The cohomologies of simplicial complexes can provide information about their shape."
9
"The cohomologies of the two domains were found to be identical."
10
"The cohomologies of the graph can be represented as a vector space."
11
"Higher-dimensional cohomologies can capture more intricate geometric properties."
12
"The cohomologies of the sheaf were used to analyze the local behavior of the function."
13
"The cohomologies of the cochain complex were computed using spectral sequences."
14
"The cohomologies of the oriented manifold were classified into three distinct types."
15
"Different choices of coefficients can yield different cohomologies for the same space."
16
"The cohomologies of the deformation space were studied to understand the moduli space."
17
"The cohomologies of the truncated complex were found to vanish beyond a certain degree."
18
"The calculation of the cohomologies involved extensive use of computer simulations."
19
"The cohomologies of the algebraic variety were related to its singularities."
20
"Although similar in structure, the cohomologies of the two groups differed in their torsion elements."
1
"The cohomologies of a space are a set of algebraic objects that capture information about the topology of the space."
2
"The cohomologies of a manifold can be computed using differential forms and integration."
3
"She studied the cohomologies of complex algebraic varieties."
4
"The cohomologies of a simplicial complex can be calculated using chain complexes."
5
"The cohomologies of a sheaf on a topological space can be related to the singular cohomologies of the space."
6
"The cohomologies of a group can be studied using group cohomology theory."
7
"The cohomologies of a vector bundle over a manifold can be computed using the de Rham cohomology of the manifold."
8
"The cohomologies of a Lie algebra can be computed using the Chevalley–Eilenberg cohomology."
9
"The cohomologies of a topological space form a graded ring structure."
10
"The cohomologies of a compact Riemann surface can be computed using the Hodge cohomology theorem."
