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Volumn 13, Issue 6, 2013, Pages 885-911

Quantitative Homotopy Theory in Topological Data Analysis

Author keywords

Contiguity; Mapping space; Mesh size; Persistent homology; Simplicial approximation theorem; Simplicial complex; Subdivision

Indexed keywords

APPROXIMATION THEOREM; CONTIGUITY; MESH SIZE; PERSISTENT HOMOLOGY; SIMPLICIAL COMPLEX; SUBDIVISION;

EID: 84887411199     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-013-9177-5     Document Type: Article
Times cited : (10)

References (9)
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    • Carlsson, G.1    Zomorodian, A.2
  • 3
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    • Quantitative homotopy theory
    • Princeton, NJ1996, Providence: Am. Math. Soc
    • M. Gromov, Quantitative homotopy theory, in Prospects in Mathematics, Princeton, NJ, 1996 (Am. Math. Soc., Providence, 1999), pp. 45-49.
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    • Gromov, M.1
  • 4
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    • S. Mac Lane, Categories for the Working Mathematician, 2nd edn. Graduate Texts in Mathematics, vol. 5 (Springer, New York, 1998).
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    • Mac Lane, S.1
  • 5
    • 0000108938 scopus 로고
    • The geometric realization of a semi-simplicial complex
    • J. Milnor, The geometric realization of a semi-simplicial complex, Ann. Math. 65, 357-362 (1957).
    • (1957) Ann. Math. , vol.65 , pp. 357-362
    • Milnor, J.1
  • 6
    • 84968513605 scopus 로고
    • On spaces having the homotopy type of a CW-complex
    • J. Milnor, On spaces having the homotopy type of a CW-complex, Trans. Am. Math. Soc. 90, 272-280 (1959).
    • (1959) Trans. Am. Math. Soc. , vol.90 , pp. 272-280
    • Milnor, J.1
  • 7
    • 0003391818 scopus 로고    scopus 로고
    • 2nd edn., New York: Prentice Hall
    • J. R. Munkres, Topology, 2nd edn. (Prentice Hall, New York, 2000).
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    • Munkres, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.