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Топология-2. Лекция 3

2026ЛекцияФёдор Вылегжанин

Сингулярные гомологии — стандартные симплексы и вложения гиперграней, сингулярные симплексы и цепи, дифференциал; нулевые гомологии и компоненты линейной связности, гомологии точки, приведённые гомологии; цепные отображения и отображения гомологий, функториальность, цепное отображение, индуцированное непрерывным отображением; цепные гомотопии и призма; теорема о гомотопической инвариантности с полным доказательством через призменный оператор; подкомплексы, факторкомплексы и гомологии пары.
1
550

IMO 1967

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
270

IMO 1970

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
190

IMO 1985

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
120

IMO 1968

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
220

IMO 2005

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
310

IMO 1959

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
310

IMO 1960

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
620

IMO 1961

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
240

IMO 1962

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
340

IMO 1963

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
230

IMO 1964

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
380

IMO 1965

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
320

IMO 1966

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
190

IMO 1969

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
280

IMO 1971

2026Листок задач

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
180