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Homotopy Localization and H‐Spaces
Author(s) -
Pan Jianzhong
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001236
Subject(s) - mathematics , homotopy , n connected , loop space , eilenberg–maclane space , space (punctuation) , prime (order theory) , double loop , loop (graph theory) , homotopy group , pure mathematics , homotopy sphere , type (biology) , mathematics subject classification , cofibration , regular homotopy , topology (electrical circuits) , combinatorics , computer science , ecology , process management , business , biology , operating system
An example is provided of a space that does not have the homotopy type of an H‐space, and yet has the same n ‐type as a double loop space for each natural number n . It is also locally homotopy equivalent to a double loop space at each prime p . 2000 Mathematics Subject Classification 55P60, 55P45.
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